No, He Who Remains was just taken off the board, all the other Kangs are still alive atm other then him and Exiled Kang. Plus there's RDJ's Doom and other Multiverse Threats around like Cassandra.

Also Stop Taking He Who Remains words as Gospel, he's still a Kang after all.

Just because He Who Remains died doesn’t mean the Multiverse War ended

From what I understood it was just the beginning

Plus Kang, the Council of Kang, Victor Timely and the variants arrived so it was just the start of it

Optimusprimebumblebee "Neo Astral-X" 123, but if I understand good, now Loki hold all the branches together and he became He who remains, as Kang (He who Remains) told if Sylvie or Loki take his throne the multiversal war will end. Also when Kang the Conqueror, Victor Timely and the other Kangs arrived, Loki hadn't became the God of Multiverse.