OP here. I was not thinking for self defense. More on just the legality.
It seams almost all states I have looked at have an open season on bow fishing for Carp without a hunting or fishing license.
I would not think anyone would have a problem with a take down re-curve stored unassembled (3 separate pieces that have to be reassembled to used). Maybe questionable having a compound bow with arrows in the quiver at the ready.