No, there is no such feature yet. PhotoSwipe itself does not support opening images directly in full screen mode and browsers may also block such behaviour.
Is there a way I can test this with modifying the code directly? I have a client who really wants this option, idea is to behave similar as to how this plugins starts the gallery: https://ww.wp.xz.cn/plugins/fullscreen-galleria/ directly in full screen mode – still experimental feature, but seems to work. I am pretty sure the same can be achieved on this plugins as well, I really like your plugin its amazing have been using it on countless projects, thank you for the great work, I hope you can help us out with this option or at least to consider it for future updates.
If you contact me via e-mail, I can provide a test version within the next days which includes direct fullscreen as an option. You will find my contact address on my website: https://arnowelzel.de/en/about-me
I finally decided not to implement this, sorry.
My reasons for this decision are also documented here: https://github.com/arnowelzel/lightbox-photoswipe/issues/59