I remember a show did this back in the late eighties when Valerie Harper quit the show named after her in a dispute with the producers.
They killed her character off and renamed it “Valerie’s Family” and brought in Sandy Duncan as an aunt.
The next season I think they changed the name again to “The Hogan Family” or something along those lines. But I think it was canceled soon after.
So I guess it is possible.
Valerie (1986-1987)
Valerie’s Family (1987-1988)
The Hogan Family (1988-1991)
It premiered on NBC and the final season was on CBS.