With the current state of LLMs, not so much. I've tried building cold e-mails with various language models and they all suck. They give you the typical marketing BS that is too generic to be of any interest. Probably there's not so much data on this to go on, or the models are intentionally hampered down to avoid facilitating spam.
use of GPT for sending? or responding? or both?
Whole conversation chains automated with chat gpt on both ends.