Maybe not!
As stated on Silmarillion:
As Eärendil set foot on the Undying Lands the Valar asked if a mortal can keep being mortal
(I don't remember the exact words) IMHO No one can really dyedie (unless by violence) at Undying Lands. Remember even Fëanor's mother don'tdidn't "really" dieddie after giving birth.