Only if other teams stop winning. You think that's going to happen? A lot has to go right for us to move up the standings. Winning more than a game in a row would be a good start, or even just making it to OT, which seems to be the latest bugaboo. The only team we have games in hand on is Calgary, and only Vancouver has played the same amount of games. We are 7 points behind Vancouver for third in the division, to pass them we have to earn 8 more points than them over a short period of time. Say the Oilers go 4-0 in their next four games and the Canucks don't win any, then we pass them. But it's not just the Canucks we have to worry about here. It's also the Flames, Ducks, and Sharks who all sit ahead of us. To reach third in the division we have to do better than four teams, each by a greater margin to keep them in the rearview mirror.
It's possible we could reach 6th (assuming Calgary keeps sucking or one of the other teams falls off a cliff) and maybe 5th at best, but that's likely it. The numbers don't seem like much from a faraway perspective, but think of it this way...
The Oilers have to win 39 of their next 64 games just to get to 90 points, which still won't be enough to catch 3rd place. Realistically we need 84 points in that span to at least reach 96, which even then still is by no means a guarantee, that's 84 out of a possible 128 points, or .677 points percentage, which most teams don't even manage in a season, let alone a smaller portion of it to catch up.