If parts are aligned on a 1024-byte boundary and you know each part's start offset, it should be possible to use the internals of a BLAKE3 tree to get the final hash of all the parts together even as they're uploaded separately. https://github.com/C2SP/C2SP/blob/main/BLAKE3.md#13-tree-has...

Edit: This is actually already implemented in the Bao project which exploits the structure of the BLAKE3 merkle tree structure to offer cool features like streaming verification and verifying slices of a file as I described above: https://github.com/oconnor663/bao#verifying-slices