Nope. Hulk's snap is an... "Unsnap", so to say. The people he brings back are the snapped ones, and Vision was murdered, not snapped.
Note that technically speaking, the Mind Stone that Vision was based on still exists, only in "atoms" in the universe, after Thanos destroyed the Infinity Stones at the beginning of the movie.
From a related interview for the Hollywood Reporter:
Could the Avengers have brought back Tony Stark back to life using the Infinity Gauntlet?
Endgame saw half of all life in the universe return, thanks to The Hulk (Mark Ruffalo) using the Infinity Gauntlet. Couldn't he have done the same after Tony's death to bring him back?
"The Gauntlet, as of yet, has not brought back anybody to life that wasn't removed by the Gauntlet. Tony was physically killed," said Marcus.
'Avengers: Endgame' Writers Take on Biggest Fan Theories, Aaron Couch for the Hollywood Reporter, May 10th, 2019
Sure, this is about Tony, but it applies to Vision as well - he was physically murdered and while the Time Stone was used to bring him back shortly, the Gauntlet wasn't complete - that's the whole point of it, to get his Stone.