NESN.com's Patriots reporter Jeff Howe believes he does, and broke down Bledsoe's numbers, which can be seen below.
Pass Completions: 3,839, sixth-most all time
Pass Attempts: 6,717, sixth-most all time
Passing Yards: 44,611, eighth-most all time
Passing Touchdowns: 251, 14th-most all time
Interceptions: 206, 22nd-most all time
Completion Percentage: 57.2 percent, tied 78th-best all time
Howe also writes that "while comparing Bledsoe to 17 Hall of Fame quarterbacks from the Super Bowl era, his passing statistics are near the top of the list, or at worst, in the middle of the pack. It's also worth noting that only [John] Elway, [Dan] Marino and [Warren] Moon are ranked higher than Bledsoe in completions, attempts, yards and touchdowns. In terms of passing statistics, Bledsoe is a Hall of Famer.
"But the line blurs between being a quarterback and a passer. The latter is about numbers. The former encompasses the entire body of work.
"Bledsoe's regular-season record as a starting quarterback was 98-95 over the course of his career. In comparison to the 17 Hall of Famers, he's ninth in total wins and 14th in winning percentage. It's good, relative to the Hall of Famers, but not spectacular."