Well, I haven't used FP yet, but I have used PP. The Meguiar's Pro Hand Polish is a completely different product. The PP is a light polish/cleaner. The Meguair's Pro Hand Polish is a glaze. Although, they are about the same in abrasiveness.
Yes, you "could" go right to the Pro Hand Polish after the DACP, provided that you work the DACP correctly, and don't have any hazing. However, I think it would be to your advantage it you went to SFP, or #9 after DACP, and then Pro Hand Polish, and then wax.
Make sure you need to use the DACP first......... SFP, or #9, or a number of other products may get the job done with going as aggressive as DACP.