Why do you want specifically the monk's ability ? Why not simply get bracers of armor (if you're not an armor wearing type) or enchant your armor (if you are an armor wearing type) or get an amulet of natural armor (works in either case) ?
There is a trait whose name I am blanking on that lets you take monk without being Lawful. Might belong to a specific race. Hmmm...
So you want to just add your Wisdom bonus to AC for the cost of a feat, and maybe some other prerequisites??
I would say "no". There are no existing feats that allow you to add any attribute bonus other than Dexterity to AC.
There are two classes that allow you to add other attribute bonuses to AC: Monk, and the Duelist Prestige Class. If you want to add Wisdom to AC, take a level of monk. If you want to add Intelligence to AC, get your feats lined up and go into the Duelist PrC when you qualify.
Class abilities are more powerful than feats, which is why you only get them when you take levels of a class and accept that class's benefits and limitations. Duplicating class abilities with non-existing magic items or feats is cheesy and shows a lack of creativity. There is a reason the Monk's Robe is worded how it is: it's designed to give *some* benefit to non-monks, and *more* benefit to monks.
The Trait your looking for is Enlightened Warrior I believe. It allows nuetral and nuetral good monks. I think convincing a DM to nerf yourself by getting the ability for free should be easier. Any other Melee can get Mithril breastplate and the armor expert trait and they'll have more AC from that than the monk will from wisdom.
The monk bonus to AC is a powerful ability and a cornerstone of most monk builds but comes with the tradeoff that if any armor is worn the ability is negated. Therefore if the ability was granted from a feat or item I would include the same restriction to prevent AC inflation from +wis to AC combined with +5 full plate.