No. Genital warts are caused by the human papilloma virus (hpv). In order to "get" this virus, you generally need to have direct--typically genital--contact with someone who has active hpv. It is important to know that someone can have active hpv without any symptoms, making it easy to transmit to a partner without realizing it.
Yes -if. If someone else with genital warts was sitting on the same section of carpet then it is possible that the human papilloma virus could stay on the carpet fibers and then be transferred to another host. However the virus would not be expected to last long on the carpet and the chances seem unlikely. Read more...