Since the turns are one month, then most any ship can move as far as they have friendly ports to pass through, or to. All action takes place at the islands/ports, nothing 'at sea', so that may be the perception of Worp Drive, and why currently, there are no PBY searches. Also, note that the further a TF has to travel, the less combat effective it will be.
If you're asking if the player can adjust what types of planes are at bases or on carriers, you can't. 'High Command' decides what to send you and where they end up
If you're asking about fighters during combat, then yes, you can move fighters from defending your bombers to attacking their bombers, or vice-versa.