No, mother rabbits will not abandon their babies if they are touched by humans. However, it may be in the best interest of the baby for you to try and avoid touching them too much. It is very unlikely that a mother rabbit would ever abandon her baby because of contact with humans. As long as your scent isn't on the young rabbit itself, there should be no need to worry about mom abandoning them simply because you touched or handled them. Just make sure that you keep any cats around the house away from where the litter is hidden until at least 4 weeks old!