The spell Fabricate says:
You convert raw material into products of the same material. For example, you can fabricate a wooden bridge from a clump of trees...
It also says:
Creatures or magic items can't be created or transmuted by this spell.
I've seen it suggested that trees are creatures, yet one of the spell description's examples is fabricating a bridge out of a clump of trees. This suggests to me that trees are not actually creatures in D&D (and indeed I haven't seen anything referring to a tree or any other non-autonomous plant as being a creature in any of the manuals I've read).
So, if plants are not considered as creatures, then would it be feasible to use fabricate to make, for example, a living bridge or a living house, assuming that it stays rooted and remains able to get whatever resources it normally would need?
Note that answers need not limit themselves specifically to trees if other plantlife would work.
Edit: I am a DM looking to see if this ruling would be reasonable, not a player trying to abuse it.