Living long term in U.S. Territories?

Well long story short I would like to live on a tropical island away from the hustle and bustle of what is most U.S. mainland cities....I have no college degree but I did graduate high school with decent grades...I would not consider myself dumb by any means....I pride myself in hard work and moral and ethical behavior.....Is there any real possibility that I could move to one of the U.S. Territories and get a job whether it be washing dishes or working in the tourist and hospitality industry and survive at all....or are there restrictions of who can stay long term...such as Government workers or Teachers? Is my dream practical or a mere pipe dream?