Not the same as peat, but if you want smokey....
There's a couple of "cocktail smoker" kits on the market. They're basically wooden caps you place on a glass with a beverage in it. Inside the cap is a hole with a screen in it. You place wood chips (oak, cherry, mesquite, etc.) In it, light them with a butane torch, and cover it up. The smoke goes down into the glass and infuses the beverage.
I got one last year and it works reasonably well. It might help you get closer to what you're looking for.