I own a Felt S25 bike which has triathlon geometry. I will be racing in Hungary in May at the ITU Junior World's so I need a regular road bike. I don't really have the money to buy a new bike right now so do you think it would work if I added road bars to my tri bike? It's draft legal which is why i need road handlebars, not aerobars.

Yes, you can put normal bars on your Tri Bike. However you should be aware of the potential effects. Read the article here.
www.slowtwitch.com/mainheadings/techctr/bikefit.html

I own a Felt S25 bike which has triathlon geometry. I will be racing in Hungary in May at the ITU Junior World's so I need a regular road bike. I don't really have the money to buy a new bike right now so do you think it would work if I added road bars to my tri bike? It's draft legal which is why i need road handlebars, not aerobars.

What size S25 do you have? The S25 doesn't have a super steep ST angle like more Tri/TT specific frames. For the 54-58 (usually the more popular sizes) the STA is 76 degrees. There probably won't be too much of a problem with putting a set of drop bars on that, but I'll let the more mathematically inclined speak first.