Hi,
Of course you can run PBP code on the EasyPIC7 board. The board and whatever PIC you put on it doesn't know the difference.
What you can't (obviously) do is use THEIR (MikroE's) integrated development environment and debugger, apart from that it works just fine. Write your code, compile and assemble with PBP/MPASM and use MikroE's programmer application to transfer the .hex file to the PIC on the board - no problems what so ever.

/Henrik.