the current thinking is no because quantum fields still act within spacetime, which is curved by gravity. there could be no particle that exists outside of this, so every particle has to interact gravitationally.

but obviously, this is a concept from general relativity which is currently not compatible with quantum field theory at all. for the purposes of QFT every particle exists within some magical separate space where all those considerations are ignored because nobody really knows how to incorporate them without breaking predictions.

I don't think it could be possible. IANAP, but as far as I understand, anything that contributes to the stress-energy tensor "gravitates". So electromagnetic interaction per-se already "gravitates".