The short answer is absolutely.
Bears coach Lovie Smith made clear at the NFL owners meeting last month that he'd be open to adding a veteran quarterback to the roster, along with Jay Cutler and Caleb Hanie.
After being released by the St. Louis Rams, Marc Bulger is looking for a new NFL home. And appealing as it is for him to reunite with Mike Martz, Bulger's first priority is to land somewhere he could get some playing time, even a chance to start.
That obviously wouldn't happen in Chicago.
The Arizona Cardinals and Pittsburgh Steelers could be the more attractive options, according to a league source.
Bulger could compete with Matt Leinart in Arizona to replace Kurt Warner. And Pittsburgh would be appealing because it's home for Bulger, and the Steelers are enduring drama with Ben Roethlisberger.
As for the Rams, they are obviously looking to move on.
By releasing him Monday, the Rams shed $8.5 million in salary and paving the way to use their No. 1 overall pick on Sam Bradford. The Rams also signed veteran A.J. Feeley last month. In a statement released by the team, St. Louis coach Steve Spagnuolo wished Bulger well in the future.
Monday also happened to be Bulger's 33rd birthday.
Bulger has seen his yards-per-average attempt fall in each of the past six seasons while his completion rate has fallen in five straight, which may have something to do with the Rams inability to protect him.
But his experience playing under Martz would make him a natural fit if he can't find a team that gives him a better chance to compete for a chance to actually take a snap or two.
"It wouldn't be a bad thing if we end up with a veteran," Smith said at the NFL owners meeting on March 24, "and that has nothing to do with Caleb Hanie.
"We think Caleb is a heck of a football player. But, when you do go with two quarterbacks, it is a little scary each week. You never know."
Sometimes a veteran backup can serve as a sounding board for a player such as Cutler.
"Probably more so than any other position, you can have even an older veteran around," he said, "because unless there's an injury, it's not like he's going to be physically beat up every day."