Unless Braun forgets how to hit a baseball, which he won't, nope. He just turned 28 and will mash for another decade, PEDs or no PEDs. Cooperstown is a good bet for him.
it'd be nice if he learned to play defense to give them something else to vote on. lots of corner outfielders have pure power. look at his "most simular through age" on b-ref. chick hafey, fred lynn, manny, dick allen, billy williams, thome, mondesi, chipper, shawn green, teixeira. some good names, some meh names.
power alone won't get him into the hall. look at albert belle.