NO!
It is shocking how so many of you fail to comprehend the magnitude of what Pete Rose did to destroy his legacy. Rose not only broke the most cardinal law in baseball hundreds of times, he lied about it hundreds of times. Moreover, when the then MLB Commissioner Bart Giamatti suspended Rose for life, based on a mountain of phone call records with bookies, dozens of detailed affidavits from bookies, and a ton of additional evidence, Rose continued to lie.
Giamatti didn't want to ban Rose. He repeatedly offered Rose sweetheart deals that would have allowed him to be reinstated after a year or so, but Rose stiff armed Giamatti and denied the veracity of MLB's evidence. This collectively and literally broke Giamatti's heart. Most everyone who knew him said it literally killed him as he died at age 51 just weeks after suspending Rose for life because Rose bulldog stubbornly refused any contrition, apology, or cooperation.
When Fay Vincent took over as MLB Commissioner when Giamatti died, it was very personal with Vincent, who was Giamatti's deputy. Vincent blamed Rose for the death, and despite that extended additional opportunities for Rose to come clean and help restore his legacy enough to earn a second chance. But, again, Rose refused all offers, going on a public relations campaign to say he was totally innocent and that MLB had unfairly attacked him.
Even for Rose's closest friends, this was too much. This is why Johnny Bench and Joe Morgan both went public and stated that as long as they had anything to say about it, Pete Rose would never be in the Hall of Fame. In short, it wasn't merely the betting on baseball, including Reds games while he was player-manager, it was his outrageous refusal to own up to it and forcing Giamatti to do something he desperately wanted to avoid doing and dying young because of having done it.
By the time Rose finally got around to admitting what everyone knew, it was far too late. He had already left a path of personal destruction behind him. Giamatti loved baseball, loved Pete Rose, and begged Rose to help him keep Rose a meaningful part of baseball after a reasonable suspension. Rose's action barred all that. Giamatti was in office as commissioner for only five months to the day before he died.
That's Rose's legacy, and it has left scars and anger that are very visceral. He got what he deserved, and he will never be in the Hall of Fame because of his actions.