One issue would be slowing down when you get there.
You'd need to carry a deployable/detachable mirror with you to reflect the laser back at the craft, but that mirror itself would also get accelerated further out, which means having to correct for that, etc., etc.
With a solar sail you can "tack" by reflecting photons against your tangential velocity – but that only works if the tangential component is indeed what you want to shed. Getting rid of radial velocity is more difficult, and in a hyperbolic (escape) orbit radial is mostly what you have.
You'd need to carry a deployable/detachable mirror with you to reflect the laser back at the craft, but that mirror itself would also get accelerated further out, which means having to correct for that, etc., etc.