Can I play Pyke Dockside Butcher in Battlefield A from hidden to Battlefield B?

No, you cannot play Pyke, Dockside Butcher from hidden at Battlefield A to Battlefield B.

According to Rule 811.1.d.1, a hidden permanent (like a unit) must be played to the exact battlefield where it was hidden.

While playing a card from hidden functions as a [Reaction], this specific restriction is absolute for permanents. You are required to play it to Battlefield A, not Battlefield B.