That's the power of the body of sage, which madara absorbed from Hashirama. So no.
It's something else that will bind him via hashirama cells. If he could heal then he would have survived that stab to the heart.
Sasuke already recieved Ashura's chakra. And yes, Sasuke also recieved Hashirama's cells. Hence, he should be able to heal like Hashi. Look at this thread I made:
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/thread.