Hello Inar32,
I cannot see why not. I've seen people tour on mountain bikes before. They're are not really built for this purpose. If you have knobby tires on it now, you might want to switch them out for something a bit less aggressive.
A rack and some fenders might also come in handy. Did you checkout the commuter pictures thread at the top of this forum? You can get some really good ideas from what others have done by looking at their bike pictures.
If your itching to upgrade, maybe a cyclocross type bike might be more suitable for you. It will have a longer wheelbase (translates to speed on the straightaways), 700c size wheels, and fork and stay widths to accomodate fat semi-aggressive tires and fenders.
Goodluck!