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.