Simple answer: No.
Brady appears to have more physical skills but Montana had well above average skills that were more than adequate for the job. What Montana had that set him above ALL other QBs that I have ever seen, and I go back to black and white,
was an amazing ability to make the action just stop. In the midst of critical situations that petrified other talented players, Joe was just Joe Cool.
A classic story from the second Cincinnati Super Bowl, IIRC, had the 49ers driving for the winning score with time winding down. With everybody filled to overflowing with adrenalin, a time out was called. As players gathered around wondering what the play call would be, Joe looked up into the end zone stands and saw John Candy. He said, "Hey, you guys. Look. There's John Candy." Classic Montana!
In the midst of all that turmoil and emotion, Joe had that unique ability to rise above it all. He went on to throw a perfect pass to John Taylor for the win. THAT is why Montana was a better QB than Tom Brady will ever be.