Can you do it? Yes... Is it easy? well...
Im 33, and in the process of restoring a 32'' which I hope to be living aboard by this summer - Ive been working toward this for 3 years (the major obstacle being paying off student loans at the same time)
My first experience with cruising was to sail a 22'' MacGregor down the ICW, and along the way I met many people in their 20s and 30s who were living aboard, sailing from place to place, and working when they needed to... Ive found it helps to have skills that are easy to find work with -
rigging, bartender/waiter, mechanic, stuff like that
Once the initial expense of buying and refitting the boat is taken care of, actually living aboard is much cheaper than living on land, especially if you
anchor out; I kept a fairly good standard of living for 4 months aboard for less than $100 a week.
Its going to take a major change in your lifestyle, esp the total lack of living/storage space, and everything you do will have to be done with thoughts of ''how will this affect the whole sailing thing?''
The book Sensible Cruising, by Don Casey and Lew Hackler, was written for people like you (and me) - its a way to approach a cruising lifestyle if you dont have unlimited money
Good luck and fair winds... and go for it!