It is not normal at all. Really, it is rather disturbing that he would press like that. Your therapist is not supposed to re-traumatize you. Doingso can have really negative consequences for you.

My suggestion is to find a trauma specialist for your next therapist. Most likely one who experienced with EMDR, and DBT, and other coping skills.

Contrary to popular myths, reliving traumas in therapy isn't helpful or necessary, and therapists have no reason to try to decide if their client is being honest about traumas they are talking about or not.