no, the MPQs are still required.
First of all, the MPQs contain unit data and image files. They are needed to draw unit sprites and maps.
Secondly, the fact BW is free now does not change copyrights in any way. We are probably still not allowed to host the required MPQ files ourselves.
At least we can point users to a free download of the required files now, which is a major step in the right direction.