Yeah, it will. It's DOMINATING viable, even, provided you take care of different types of armour.
Maybe you should go for 10 Con and pick Thick Skull instead of Gun Nut. You could also play with spears and Spear Guard +2 which will give you a 100 % block. You can still use AR and then swap to spear when needed for more defensives. Taking Quick Pockets and keeping a shotgun around with Leading shot is going to help you since you don't go all out on either Offensive skill. It will deal with most evasive enemies of which there are tons in the game. In this case I wouldn't consider Gun Nut, Recklessness, Paranoia, Heavy Punch, Improved Unarmed Combat, Guard and Crippling Strike. Maybe look into one or two points more in Dex and consider Grenadier, Quick Tinkering in addition to Sixth Shell, Concentrated Fire and Leading Shot. You could skip Lockpicking and half the point in Traps and go heavy into crafting. No point into going Intimidate. Better put it all into Mercantile and Crafting.