Nope. Authorized for emergency use only. Using the word "approved" is an error:
Pfizer-BioNTech COVID-19 Vaccine is a monovalent COVID-19 vaccine that is authorized for emergency use to prevent COVID-19 as:
The first two doses of the three-dose primary series for children 6 months through 4 years of age.
A two-dose primary series for individuals 5 years of age and older.
A third primary series dose for individuals 5 years of age and older who have been determined to have certain kinds of immunocompromise.
Pfizer-BioNTech COVID-19 Vaccine is a monovalent COVID-19 vaccine that is authorized for emergency use to prevent COVID-19 as: