Could the Three be made again?

[Gwaihir the Windlord]

Well I believe that someone having the knowledge and strength of Celebrimbor could have made new Rings had they wanted.

Suprising this hasn't been brought up really... it is said in Silm that each being in Arda is permitted one great work in their lives. The Silmarils were Feanor's great work. The stars were Varda's. The Three were Celembrimbor's.
Just as Feanor could not have remade the silmarils, Celembrimbor couldn't have forged the Three again; at least he couldn't have forged them to have the same strength as the originals. Had he attempted the feat, the rings he produced would probably have been Rings of Power (not Lesser Rings) but they wouldn't have been anywhere near as powerful as the Three.