No. Only Ulster Bank is allowing borrowers to transfer their trackers.
So your plan falls at the first hurdle as PTSB don't allow it.
However, at some stage you may be able to get a discount from ptsb for repaying your tracker early. You would still have an SVR with UB but your overall net assets would have improved which is potentially more important.
I wonder would Ulster Bank allow me to move to U Bank with the PTSB tracker on the rental property and then purchase my PPR house with a transfer of the tracker?