You can, but it will destroy your plane electronics if you can't bring an external cooler fast enough. even with the next gen internal cooler (that won't be in test until 2029, so not installed until like 2035), the jury is still out until it's done.

And Stealth alone is not good enough, not anymore. Radar and optics tech caught up. You still have to load of flares for any CAS or any engagement that will involve fox-2 targeting (which, you know, break your profile and make you visible on old radars), and from what i heard, Thales is confident on its next-gen avionics/optics/radars ability to detect gen5 radar signal, so much so that they clearly focus on future-proofing against EW equipements (that don't yet exist, allegedly).

The future is Stealth+Altitude, or stealth+EW+unmaned, automated drone with similar radar profile, and that's probably when the F35 will probably shine, but until then, i just don't think it's a good plane, not yet.

Also i think fighter planes based on the Growler will probably be better in the future. If a country bought F35 without asking for Growlers, my intuition is that it was a political choice, not an informed/military one (So basically, Australia military, to me, is the only sane country).