Gh, it's a really tough one. What if they get sick of you? What if the pair of you get lonely at some point? It's not like the question means they'll love you forever, or vice versa. In the end, I choose "no"! It sounds quite lovely for a while at least, though.
Fly to and live in any country you want, but you can't move back to your home country. Visiting family/friends is fine, but for no longer than a week.