Yes, but the "commit object" is just a bunch of metadata that refers to the tree by its hash:
% git cat-file commit 6de20f6092
tree 5cb21f9acf8c31ce1a8f6bb0bbc3b9e4e8607ce8
parent c679abf7d2c0f3f4ee623e0882a50964e9b100cc
author Junio C Hamano <gitster@pobox.com> 1791306800 -0700
committer Junio C Hamano <gitster@pobox.com> 1791306812 -0700
The 4th batch
Signed-off-by: Junio C Hamano <gitster@pobox.com>
And the tree in turn refers to the files (or subfolders) by their hashes:
% git cat-file -p 5cb21f9acf8c31ce1a8f6bb0bbc3b9e4e8607ce8 | head
100644 blob fd4fb56b6d56789369d4824ad10999369127f5c7 .b4-config
100644 blob 8168d8a10b3a9e14f6c019e8ffbe5a71dc307d8b .b4-cover-template
100644 blob fef04a38402fee6465a6a4225374d493b47421c0 .cirrus.yml
100644 blob 86b4fe33e5cd98e2a347944559c345419824c245 .clang-format
100644 blob 82e121a41754b536611c9ce9b2b4aba349e7ed9d .editorconfig
100644 blob 26490ad60a74d0968eaf2f77abffcb21d78b18e3 .gitattributes
040000 tree 5f898fc5ec3429058fd21072db170fff9e49eab4 .github
100644 blob 0209bd16f209c232748734d911099b37be80fc12 .gitignore
100644 blob 3f2483550038f6aabb2f8b858b4ee7b29a66072a .gitlab-ci.yml
100644 blob cbeebdab7a5e2c6afec338c3534930f569c90f63 .gitmodules
If you can produce a hash collision, you can therefore have two repositories with the same signed commit but different file content.