You'd have to apply with the State Dept. and I'm almost sure the answer would be "no" because a foreign national here isn't even allowed to look through them. The risk of being in a 3rd world country and losing 'em to theft is just too high and the prize simply too valuable to a thief... When my buddy was in Iraq, I couldn't even get the congressman to help me get him a new J-arm --that's controlled too. State Dept. wouldn't get back to me. In the end, I had the option of sending it in the company mail so all I had to do was drop it off with CQ but you're not gonna have this luxury. What I'm getting at is it's a pain in the ass. And since almost nobody does it, nobody can give you any straight answers.
I remember a set of NODs came up stolen in another company the last day of infantry school, on 9/11 I think, and the next day before walking the parade field the CSM gave us a story about N. Koreans sneaking across the DMZ to steal NODs from soldiers while they're asleep. The value of 3rd gen. NODs are worth a fortune in most countries.
Now I bet if they were 2nd. gen or had an FOM below 1500 or 1600 you may be able to (that's the export cutoff). I don't know if you need permission for those but I'd check, probably do but probably stand a better chance getting approval. You may be able to rent a 2nd gen. something; if hunting I'd get a PVS4, even 2nd gen. they can still be good and on a starry and moonlit night you can see quite well with 'em. Or maybe a set of 2nd gen. PVS7's. Make sure your head gear isn't controlled too. Remember that J-arm I was talking about.
If you've got a federal building close by with a State Dept. office in it, I'd call there and plan on going in person to get anything done.
If anyone will know for sure I bet it'll be Vic at TNVC or maybe another dealer that's had experience actually doing it and pulling it off.