Is Battlefield to hand considered a move?

No, moving a permanent from a battlefield to your hand is not a move.

According to Rule 442.3, only units are capable of performing a "Move" action, and by definition, a Move action specifically refers to relocating a permanent between locations on the board (e.g., from base to a battlefield or between two battlefields).

Relocating a card from the board to your hand is typically referred to as "returning to hand" or "bouncing," which is a distinct game action from a "Move."