Is there transfer from 4 train to F at 63 street

Jim Kelly is correct. It's a free transfer with the use of your metro card

You have to walk from the 4 at 59/Lex to transfer to the F at 63rd. It's a free transfer on your MetroCard.

No. But you can walk from Lexington and 59th street to Lexington and 63rd station and use your metrocard

No, the 4 train stops at 59th and Lex. You can only take the F and Q at 63rd and Lex