At least not directly. He has the chance to have stadiums and such named after him, and has already made Clemson a contemporary peer of Alabama (titles > 10 years ago don't factor into play here).
I can see him trying the NFL and then coming back home to Alabama, but there is little precedent for a jump from Clemson to Alabama directly, and little incentive besides old personal ties. Plus he'd be following probably the only active FBS coach with a stronger legacy in this generation of coaches. Players have a tough enough time following a legend. Coaches generally fare even worse here.