Yes
The RMFRP system was mostly re-prints of RMSS but with several new companions made for it. There are a few RMSS books that didn?t make it to the RMFRP but they're basically the same and can be used without any problems. I have a couple of RMFRP companions that refer to themselves in the text as RMSS.
The biggest difference between the 2 systems are the core rule books. Most of the info is interchangeable but they're set out in several different books. Whereas the companions are mostly the same material comparing the Channeling Companion or the Mentalism Companion for instance between RMSS and RMFRP; they're very close to each other RMSS book vs RMFRP. The Core rules, however, are split into different books in RMSS compared to RMFRP.
RMSS - Standard Rules, Talents, The Basics, Player Guide, Spell Book (all in 1 book) etc.
RMFRP - Fantasy Role Playing, Character Law, School of Hard Knocks, 3 separate books for the Realms of Magic etc
You'll find differences in Training Package's costs but ICE have made a master TP costs available in the Vault - I'll grab you a link in a sec.
There's also a document detailing the differences between RMSS and RMFRP book which is also in the Vault I believe - again, I'll grab you a link in a sec.