No. Feline Infectious Peritonitis (FIP) has been a known disease since the early 1960s. It is caused by a mutation of the feline coronavirus (FCoV), which is distinct from the human coronaviruses responsible for illnesses like COVID-19.
Despite belonging to the same virus family, feline coronaviruses and human coronaviruses affect different species and cannot be transmitted between humans and cats. There is no evidence that the feline coronavirus can infect humans or that human coronaviruses can cause FIP in cats.