It can be done
You'll want lots of endurance and to take what ever damage reduction perks you can get
stength adds to but it's not as essential
you will be going through stim packs like crazy, you might want to put some points in to medicine
It might be worth suplementing with some unarmed skill [at least 70] to get the paralyzing palm perk, that will take care of overlords and reavers
A lot find a high sneak skill to be important, I never did