Yes, that is perfectly possible. The outside, as opposed to the inside, of the bamboo is best in both compression and tension. No need to trap the back, but a little trapping may be wise.
You could add a core, if the bamboo is too thin or if you like the contrasting look of this wood in the center.
It is crucial to tiller all lams seperately, prior to gluing. Only then it is possible to end up with a nicely tillered bow, since tillering after gluing is hardly possible because you cannot tiller from the belly (only from the sides).
There is a perfect build-along on TradGang for a boo backed boo laminated bow. I cannot post the link directly, because that site is supposedly too commercial. Click
this Google-search link and hit the first result. It'll help you a lot.