If I bounce back from combat with Hwei, is it a move?

No, returning to your base after combat is a Recall, not a Move.

According to Rule 450 and Rule 451, a Recall is defined as the relocation of a permanent to its base that is explicitly not a Move. As such, it does not trigger any abilities that rely on a "Move" action.

This is also supported by RiftJudge FAQ #10124 and FAQ #10165, which clarify that returning to base due to combat results or recall effects—even if it happens during combat—is a Recall, not a Move. Consequently, if you have a card like Hwei, Brooding Painter whose ability triggers when he moves, that ability will not trigger when he is sent back to your base after combat.