Can common skin warts or plantar and palmer be passed through toilet paper if one of these warts touches it and then another person touches it?

Probably not: The HPV types that cause common hand or foot warts rarely infect the genital area. And HPV is generally not transmitted by indirect contact, only with direct skin-to-skin contact. And a light touch is never enough anyway. Don't worry about this.

Highly unlikely: Not likely. Transmission of HPV via contact with fomites(inanimate objects and materials) has been proposed as a possibility but has not been definitely proven. HPV 16 can live for over 7 days on dry surfaces. However this strain does not cause warts.(It's associated with squamous cell carcinoma and cervical cancer).