There are a couple of full sized options: extremely popular and well priced Xiaomi Mijia digital tire inflator, a ridicuolously overpriced and still bulky Fumpa.
Is there a truly portable and Presta valve optimized emergency pump for road punctures?
Portable hand pumps are a compact option but they may damage the valve. CO2 are great and compact but destroy the tyre sealant.
I need something really small and it is enough for it to be able to inflate one bicycle tyre to 35-45 psi after I install the tyre "worm".
PS Upon further discussion and internet searches I am going to use Mini or Nano Fumpa.
This
looks to be as small as they get.
As long as you have a portable pump with a flexible hose and aren't overly rigorous on the pumping action the valve should be fine i've done it for years and haven't damaged a valve once.