All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
As regards choosing Friday because it is the birthday of a person, then this implies regarding the birthday as an ‘Eed (holiday), and this is not among the ways of the Muslims; rather, it is an innovation that infiltrated the Muslim communities from the non-Muslims, so you should avoid this.
Allaah Knows best.