Possible yes, sensible, no.
Why would you build a decent long travel FS, and then fit tyres so lightweight (in order to get down to some nominal and completely arbitrary mass) that you’d never be able to ride it over anything it was capable of riding over?
I’ve got 3 bikes:
1) 100mm “race” hardtail, just 9.8kg. If you so much as look at a sharp flint both tyres burst!
2) 140mm “trail” hardtail – 11.5kg with sensbible mid range weight tyres on. Fine in the UK mostly, but not burely enough for proper DH or the Alps without tyre issues
3) 160mm “All Mountain” Full Bouncer – 12.8kg with chunky tyres, reasonably bullet proof for anything i’ve got the skills/bottle to ride
Any of those bikes could be lighter, but that would always come with a penalty in terms of capability.