Traveling is good, but it's hard when you're young and don't have a lot of funds to fall back on. If you decide to go for it (and only you can tell yourself what's right) than do your best to create various safety nets and ask yourself some important questions first.
If you run out of money, how will you support yourself? There aren't many 'room and board' for work type places out there, but there are some. Places like couchsurfing.com can help you find a safe and cheap place to stay, but they often charge a fee for their services.
How are you going to transport yourself? If you choose to take a plane or a bus, there won't be a car waiting for you unless you rent one. This is very pricey! Not all places have public transportation, and you may find yourself stranded. Even a few short blocks can seem like a long distance sometimes! If you choose to take mass transit to visit these places, how will you deal with delays, cancellations, and payment?
Do you believe you'll be able to easily get a job if you need one in a hurry? Can you convince someone to hire you, knowing that it's only for temporary work? Will it pay enough to get you where you're going and leave you with emergency funds? Living day-to-day isn't any fun, and it's a quick way to end up homeless, stranded, and possibly malnourished.
I can't answer those questions for you, and there are many others you need to ask-- it might be a good idea to find a forum that focuses on traveling and see what they recommend you consider.
All that said, all that matters is that you are happy and healthy! Don't hold yourself back on something you'll regret years later-- just make sure you don't end up hurt (or worse) along the way. Good luck!