Not according to Wookieepedia and at least 2 different sources.
Rekkon greeted Chewie in his own language, and Han admits to a B'omarr monk that he speaks
Shyriiwook but sounds like a moron.
In other news, the glorious white holiday approaches, so Merry Christmas to all. I will be active for the next couple of days but will probably drop off the radar a bit to spend time with friends and family, so I understand if everyone else does likewise.