Maybe Frank Zappa will get it posthumously some year?
Nope...
https://www.nobelprize.org/nobel_prizes/facts/
Posthumous Nobel Prizes
From 1974, the
Statutes of the Nobel Foundation stipulate that a Prize cannot be awarded posthumously, unless death has occurred after the announcement of the Nobel Prize. Before 1974, the Nobel Prize has only been awarded posthumously twice: to
Dag Hammarskjöld (Nobel Peace Prize 1961) and
Erik Axel Karlfeldt (Nobel Prize in Literature 1931).
Following the 2011 announcement of the Nobel Prize in Physiology or Medicine, it was discovered that one of the Medicine Laureates,
Ralph Steinman, had passed away three days earlier. The Board of the Nobel Foundation examined the statutes, and an interpretation of the purpose of the rule above led to the conclusion that Ralph Steinman should continue to remain a Nobel Laureate, as the Nobel Assembly at Karolinska Institutet had announced the 2011 Nobel Laureates in Physiology or Medicine without knowing of his death.
As for declining the award:
Two Nobel Laureates Declined the Prize
Jean-Paul Sartre, awarded the 1964 Nobel Prize in Literature, declined the prize because he had consistently declined all official honours.
Le Duc Tho, awarded the 1973 Nobel Peace Prize jointly with US Secretary of State Henry Kissinger. They were awarded the Prize for negotiating the Vietnam peace accord. Le Doc Tho said that he was not in a position to accept the Nobel Peace Prize, citing the situation in Vietnam as his reason.