A B-wing (PS4) moves and "bumps" into a Shuttle. It overlaps the Shuttle and both ships are now considered touching.

The Shuttle (PS6) moves next, during the same Activation Phase, and performs a 0 maneuver, thus keeping its position and facing unchanged.

Are both ships still touching?

If ships are (a) physically touching bases, and (b) one overlapped the other during that round, then they're considered touching.

So yes, they would be.

Here is another thread that discusses the issue extensively

http://community.fantasyflightgames.com/index.php?/topic/103202-0-move-and-overlap/