According to Jason Gregor of OilersNation, it's a very real possibility.  From his game-day blog last night:

I got some confirmation that the Oilers and Predators are kicking each other tires. Nilsson would seem like an obvious choice, but I’ve heard whispers about Pouliot and Pisani as well. Nashville has lots of cap space if they want to acquire either Pisani or Nilsson.

My opinion of both of these players is high.  Fernando Pisani, who is earning a little more than he really should be, is a great player on any team's third line and is capable of stepping up into a scoring role every once in a while.  Robert Nilsson is a talented (I'm really resisting the urge to add "yet enigmatic") yet enigmatic (fine, I lose) forward who shows flashes of brilliance.

The smart money's on Nilsson - the Oilers have too many players with similar skill-sets, and have more on the way, while Nashville really needs to add a scoring forward to their top-six.  Meanwhile, the Oilers have very few players like Pisani, and Nashville is blessed with that type of forward.

The sticking point?  Robert Nilsson's salary.