There's no current evidence of this, and it's very unlikely. It is possible for a virus to jump from species to species (and this is how it became an issue for humans in the first place, but the host species is, as yet unidentified). There have been cases where it's jumped to felines, which are far more similar to humans. There have also been cases early in the pandemic where canines tested positive, but it's thought this is likely just cross contamination.
Guinea pigs don't get Covid-19 but you should still use the usual good hygiene (hand washing and not lots of kissing) and preferably stay away from them/move them out of your room if you show any symptoms and don't feel well; the same as with any other infectious illness (bad cold, flue, norovirus etc.) and most definitely if you have strept throat or another streptococcal infection or salmonella, as those can pass onto guinea pigs.