Yes
Loosestrife comes in pink, yellow, white and purple. The purple loosestrife varieties are considered slightly invasive in some zones and gooseneck loosestrife can also be very aggressive in certain regions. It is wise to check with your extension service to see if your variety is appropriate for your area.  Now, I think they are yellow loosestrife. I am worried the shrubs might be invasive. According to what I could find in my books, only Purple loosestrife is invasive but Yellow is not invasive. As you can see from the picture below I am about to throw them away, then I thought about bringing the situation to this forum. It is not invasive but it does spread. I just rip out what I don't want each spring. It's a wonderful perennial that blooms much longer than most perennials. I am amazed to see a variegated yellow loosestrife, ie, one with green and white foliage rather than plain green. There're several variegated forms of yellow loosestrife - 'Alexander' and 'Golden Alexander'. Neither are invasive and even spread far less aggressively than the straight green variety. And there is also a dark leafed form, Lysimachia ciliata 'Purpurea', and a purple flowered form, Lysimachia atropurpurea 'Beaujolais'. It is not invasive but it does spread. I just rip out what I don't want each spring. It's a wonderful perennial that blooms much longer than most perennials. I am amazed to see a variegated yellow loosestrife, ie, one with green and white foliage rather than plain green. Purple loosestrife is a wetland plant from Europe and Asia. It was introduced into the east coast of North America in the 1800s. First spreading along roads, canals, and drainage ditches, then later distributed as an ornamental, this exotic plant is in 40 states and all Canadian border provinces. Purple loosestrife (Lythrum salicaria, L. virgatum and any combination thereof) is listed as a MDA Prohibited Noxious Weed (Control List) and a prohibited invasive species in Minnesota. It is illegal to possess, plant, transport, or sell purple loosestrife Circle flower. Lysimachia punctata, or whorled loosestrife, has whorls of 1-inch yellow flowers along the upper part of leafy 3-foot stems. The dark 3-inch leaves, sometimes variegated with white, are also arranged in whorls. In the damp areas that circle flower prefers, it may become invasive. more varieties for Loosestrife. Lysimachia punctata, or whorled loosestrife, has whorls of 1-inch yellow flowers along the upper part of leafy 3-foot stems. The dark 3-inch leaves, sometimes variegated with white, are also arranged in whorls. Garden yellow loosestrife is similar to its well-known invasive cousin, purple loosestrife (Lythrum salicaria), with different colored flowers, and can invade similar habitats. Counties in WI where garden yellow loosestrife has been reported (as of August 2013). Both vouchered and unvouchered reports included. Similar species: There are a number of native wetland plants in the same family as garden yellow loosestrife that also have yellow flowers (L. quadrifolia, terrestris, ciliata and lanceolata). Stem Description: Stems are upright and hairy. Fruit/Seed Description: Seeds in capsules that open by valves. May be confused with: Garden loosestrife has a cousin, (Lysimachia punctata) that is also called garden or yellow loosestrife, which looks very similar. Lysimachia vulgaris, garden loosestrife, is more likely to be found in wetland areas and has flowers that cluster at the top of the plant.  Yellow Loosestrife is not invasive in the Seattle area, that's Garden Loosestrife, two different plants. In my partial sun garden yellow loosestrife puts on a dependable long flower in the summer. It does spread, but very gradually and is easily controlled by pulling it, its roots are shallow. Yellow loosestrife is very pretty right now (June 30) here (Zone 4/5), but I would suggest planting it with caution. It spreads steadily, though not like the real cancers of the garden, creeping harebell or snow-on-the-mountain/bishopsweed. Lysimachia vulgaris (garden loosestrife, yellow loosestrife or garden yellow loosestrife) is a species of herbaceous perennial plants in the genus Lysimachia native to wetlands, damp meadows and forests of Eurasia. 
http://www.gardeningknowhow.com/ornamental/flowers/gooseneck-loosestrife/gooseneck-loosestrife-flowers.htm http://forums2.gardenweb.com/discussions/1600956/is-yellow-loosestrife-invasive http://forums2.gardenweb.com/discussions/1600956/is-yellow-loosestrife-invasive http://www.dnr.state.mn.us/invasives/aquaticplants/purpleloosestrife/ http://www.bhg.com/gardening/plant-dictionary/perennial/loosestrife/ http://dnr.wi.gov/topic/Invasives/fact/GardenYellowLoosestrife.html http://www.nwcb.wa.gov/detail.asp?weed=89 http://davesgarden.com/guides/pf/go/1126/ https://en.wikipedia.org/wiki/Lysimachia_vulgaris
is yellow loosestrife invasive