There is no proof of Rockefeller receiving seven heart transplants. The source of information is from a satirical website; hence it is false.
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.