At least I was not able to find a way to do that. That was the main reason I switched back to Firefox on mobile despite actually liking Samsung Internet more.
I tend to use my phone for personal research stuff mainly and Firefox on my desktop/laptop for work. I use bookmark syncing in Firefox, and that works great! But I generally don't need to synch from phone to desktop.
Having said this, I also had Firefox installed on my phone and on checking, see that ublock origin is available there!