If you want to do this your best bet is to NOT use Lightroom Classic. Safest is to set up a cloud share such as dropbox that Johan mentions. Drop your raw files in there and use bridge (comes with the photography plan) with camera raw to edit the files. Caveat is that you can lose edits if two people are editing the same file at the same time. That can be prevented by running a video telecon session at the same time.
Another way that could work but is not allowed by the license is to log on to the same creative cloud account on both machines and use Lightroom Desktop instead of Classic. It has the same problem that you can lose edits if two people are working on the same image at the same time.