Possibly, I'm not aware of any studies showing a link between primary tooth loss and puberty. There is a huge variation in what is normal though. I have seen 8 year olds with no primary teeth left and adults who still have some.
My DD1 started losing hers at 4, but I thought back and she was teething at 4 months when the HV said she "couldn't possibly be" so I suppose the correlation could be there. I was really alarmed as she told me she'd been hit in the face with a doll at nursery but the dentist said that they were naturally loose.