Yes, a developer can take a paid commission to finish an AI-assisted HTML5 game. Whether repairing the current build or rebuilding is faster depends on the actual code and what still needs to work.
I can offer a small paid first milestone: inspect one playable build and its source, reproduce the main blockers, check your 10 MB ZIP and 2 MB per-file limits, and give you a prioritized repair-versus-rebuild plan with an acceptance checklist. We would agree the fee before that review; any coding would be a separately scoped, fixed-price milestone.
I use AI-assisted coding and verify changes by running the game and repeatable checks, so I want to be clear about that upfront. If you're still planning to hire around October/November, is there one game and unfinished mechanic you'd want assessed first? A short description or public demo is enough to scope the first step; source can be shared privately after we agree how to work together.