If it were, it wouldn't be the Oort Clude, er, Cloud.
No but for now the theory is a completely reasonable one at least suggested by the long term comets. If there is a much larger cloud of interstellar objects, some will become gravitationally bound to the individual stars. Then there is Proxima plowing through it all every half million years.
However its always bothered me that scientists always seem to suggest that comets only come from the ort cloud or are at least bound to the sun. It seems completely reasonable that some could be truly alien and are just passing through.