Casper, yes you can. I use moonshine from a local backwoods brewer and works very well.
Actually Wade, just the opposite. Grain alcohol will absorb the flavor of what you are putting it into (or putting into it). The last quart that I just used in my Port had about 10 or 12 whole blackberries to it. The quart of moonshine was a very nice purple/black color from the blackberries and had a nice slight blackberry flavor. This was just made a couple of months ago and like wine, if it were allowed to age in the fruit, it is really good. A few years ago I had a quart with a slice of Peach in it. When I first tried it, it burned so bad it wasn't worth drinking. Letting it sit a couple of years made it a very nice peach alcohol, that would still take your breath away when you downed a shot, but it was very good.