I did laser hair removal on my entire face and now I'm having a lot of tooth ache which feels like nerve pain

Thanks it is interesting question. The answer is( no) , there is no relationship. The laser waves in the hair removal target dermal and subdermal tissues with are  very superficial tissues, whereas  the nerves which supply our teeth are very deep and cannot be damaged with such kind of superficial application of laser. I will recommend consulting with your dentist first to rule out any teeth, or gum issue.