The Pineboards PoE + NVMe HAT will be released next week and will allow you to have both, and some other 3rd party ones do the same. The official Pi M.2 HAT doe

The Pineboards PoE + NVMe HAT will be released next week and will allow you to have both, and some other 3rd party ones do the same. The official Pi M.2 HAT does block the PoE headers though sadly!