I don't think so, but I'm not sure. When the clerk at RR swipes your card, it will show that you already played 2 sessions (I'm assuming you played 2 at Santa Fe -- the free one plus one for the 200 points earned there). However, the only points it will show that you earned that day are the ones you earned at RR (200), so it will look like you already played your maximum.
I don't work the slot tournaments anymore and don't recall running across something like this back when I did, so I'm not sure what would happen. What I do know, though, is that when a card is swiped, it shows only the points earned at that casino that day, not points earned elsewhere.
Let us know, though, if you try this and what happens.