NotTwo, this article should be of interest...
Project to aim for sending a featherweight robotic spacecraft to the nearest star at one-fifth of the speed of light
www.theguardian.com
So yes such plans are afoot, involving tiny featherweight spacecraft, very powerful lasers, and a 20% light speed aim. If this was achieved, could mean a little over a 20 year one way trip (not accounting for time needed to attain that speed), so something potentially possible within our lifetimes, if said plan is feasible.