Not at all! Try it. Just make sure you have loamy soil, a bit of clay, a bit of sand and tons of water when you first plant the bamboos. In fact, it is ideal as they won't encroach to your garden because of the concrete path. Incidentally, what is the aspect please? If the sun is from your neighbour's side and your neighbour has gone soil instead of concrete, you can be in big trouble as bamboos, even clumpsters, want to tap into the sun's energy. If the sun is really from your neighbour side and you're a considerate neighbour, like me (sometimes, LOL!), you really should put a plastic sheet as a barrier against your neighbour's soil. Don't worry too much as bamboo roots do not go DEEP, they go across. Please google youtube, but don't get scared as it is easily done.
What kind of bamboo have you have in mind?I recommend a Fargesia Nitida, rainbow or one with chocolate stem or even Phyllostachys Nigra is better than boring green or aurea.
I have had success with about 4 inches of width in a very hot spot between my neighbour's wall and my slab paving. If you have friends who have got bamboos, get a piece of runner root and just make sure the soil is free draining and moist every day when you first plant it and it will reward you.
Good luck!