SPOILER ALERT! Lady Dark Star, avert your eyes!
I am not sure about that. He's the Lone Ranger in the movie (he chose exile, my foot!), but the book makes it clear that he is a Chieftain of the Dúnedain, and presumably has the support network among them.
In any case, it is clear that he spends a lot of time alone in the wilderness, and even if I think his statement is slightly out of character as it is revealed later, I still find it touching.
Even in the books he tends to operate alone, though. He's not utterly friendless, obviously, but the Rangers themselves are very scattered and, as a group, mistrusted by those they protect. I'm not sure the people of Bree know Strider leads the Rangers, or that the Rangers even have a leader. I also think that some of that anonymity might also be by design - Aragorn isn't ready to come forth yet and he doesn't want everyone to know who he is. He left
Gondor when he was Thorongil and getting overly popular because he decided the time just wasn't right to step up to his birthright. My guess is, 99.9% of the time he's hanging around people who don't already know who he is, he's hiding behind that scruffy, disreputable exterior. It's that 0.1% of the time when he needs to come across as trustworthy that he has problems. Especially since he's gotten so good at his act that others who'd like to help the hobbits are getting in his way!
I didn't like the whole character arc Aragorn was given in the movies either. That was lame. He hadn't chosen exile. He was just patiently waiting for his moment. But until that moment came, he had to keep a low profile. Sauron had reason to hate and fear the line of Elendil. If it was widely known Aragorn walked the earth and sought to crowns of Arnor and Gondor, what do you think would happen to him and to everyone associated with him? He was on a path that would lead to either spectacular success or spectacular failure even before The Ring showed up.