No. Mayim Bialik portrayed Amy Farrah Fowler in The Big Bang Theory, while Soleil Moon Frye played Penelope "Punky" Brewster in Punky Brewster.
Mayim Bialik grew up in San Diego and got her first acting job (Pumpkinhead (1988)) when she was just 12 years old. A number of TV roles followed until in 1990 she was cast in Blossom (1990), the role which made her famous.
Soleil Moon Frye began acting at the age of two, she became known worldwide as the title character in the Punky Brewster (1984) TV series on NBC.