Can rabbits get lice from there owners?

I would say NO.

Rabbits can of course get infested with lice, but normally not the type that infests us humans.

If we humans have got headlice, then the headlice are not likely to infest the rabbit.

Different species has got different parasites to cope with.

There is only a few parasites that infect many different species.

And even so, carnivore species (meat-eating) can all get certain parasites where as species not eating meat normally do not.