Sure, and that's likely, but that bias would be spread over all the teams that visit, so the variance should be low.
What is and isn't a hit is also very subjective, and as far as I know there is no clear standard.So someone could be unbiased but still call more hits in that building than others. The home team, who plays 41 games in the building, would benefit from that. It's also true that a team may just want to throw more hits at home, because they get a response from the crowd.
What is interesting is that the league seems to be reviewing shots between periods, leading to big discrepancies that are later corrected. It's been very noticeable this season. Perhaps they'll start doing the same with all the statistical categories.