It is actually possible to travel extensively without money, or at least, with very little.
Every year there are a few people that start out on long trips with no money at all, whilst others do so with seemingly unlimited budgets. Most people fall somewhere between these two extremes.
How ever much you have, it has been said that is it better to travel with very little money than to not travel at all.
Plenty of travel websites and blogs exist on the Internet, many of them document the experiences of budget travellers. For example, this one, which makes [...]
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Some countries insist that you show some means of support (credit cards or cash), or have evidence of an address where you will be staying (hotel, friends, etc.) while visiting. You may also need to show return or onward air tickets.