In the Lost series, a young guy named Charlie has a tattoo on his arm that reads "Living is easy with eyes closed". Does it carry any significance within the series or is it a real actor's tattoo?
According to Lostpedia, the tattoo belongs to the actor and not the character.
The words are a line from Strawberry Fields Forever, by the Beatles.
As others have mentioned, the tattoo actually belongs to Dominic Monaghan.
However, to answer your other question:
Yes, it does.
Eyes, and in particular, opening and closing eyes, are a significant theme in LOST.
as shown here:
So his tattoo is either
It may not have been intentional, but it fits in very well.