Hi! Yes, absolutely ā I'm fine with you publishing your spin-off.
The code for Unified Chemical Plant is released under the MIT license, so you're free to modify and redistribute it. Please just keep the required MIT license/copyright notice and credit Unified Chemical Plant as the project your mod is based on, preferably with a link to the original mod page.
One important note about the graphics: the assets are originally by Hurricane046 and are used under the CC BY license, so please make sure to credit Hurricane046 for the artwork as well.
I'd also appreciate it if the spin-off uses its own distinct name rather than Unified Chemical Plant, just so players can easily distinguish between the original mod and derivative projects. Biochemical Refinery sounds perfectly fine for that.
Other than that, feel free to publish it. Your Biochemical Refinery concept sounds different enough to be useful as its own spin-off, and I'd be interested to see what you've done with it.
Good luck with the project! And feel free to drop a link here once it's published.