There is no proof of Rockefeller receiving seven heart transplants. The source of information is from a satirical website; hence it is false.
David, a billionaire banker and the last surviving grandchild of oil tycoon John D. Rockefeller, died in his sleep of congestive heart failure in the year 2017. His life was controversial and was a regular target of the far-right and conspiracy theorists. He was scorned by many for his political views and banking policies. A popular online theory broke the world record for most heart transplants with up to seven.
The claim about Rockefeller’s transplant was first published by World News Daily Report, a publication known to publish satire news. There is also no other record of him receiving that number of heart transplants, and rarely do patients receive two transplants over their lifetime.
Hence we conclude this to be false and baseless.