I think the meaning is pretty clear. This person got really burned in a previous relationship, and because of this is unable to love and show care in his present one, even though he so badly wants to. It's lovely song, and very sad. You can really feel how defeated and frustrated he is with himself.
It's impossible to tell the sun to leave the sky,
It's just impossible.
It's impossible to ask a baby not to cry,
It's just impossible.
Can I hold you closer to me
And not feel you going through me,
But the second that I never think of you?
Oh, how impossible.
Can the ocean keep from rushing to the shore?
It's just impossible.
If I had you could I ever ask for more?
It's just impossible.
And tomorrow, should you ask me for the world
Somehow I'd get it, I would sell my very soul
And not regret it for to live without your love
Is just impossible
Can the ocean keep from rushing to the shore?
It's just impossible.
If I had you could I ever ask for more?
It's just impossible.
And tomorrow, should you ask me for the world
Somehow I'd get it, I would sell my very soul
And not regret it for to live without your love
Is just impossible
Oh impossible,
Impossible.
Impossible
It's just impossible.
It's impossible to ask a baby not to cry,
It's just impossible.
Can I hold you closer to me
And not feel you going through me,
But the second that I never think of you?
Oh, how impossible.
Can the ocean keep from rushing to the shore?
It's just impossible.
If I had you could I ever ask for more?
It's just impossible.
And tomorrow, should you ask me for the world
Somehow I'd get it, I would sell my very soul
And not regret it for to live without your love
Is just impossible
Can the ocean keep from rushing to the shore?
It's just impossible.
If I had you could I ever ask for more?
It's just impossible.
And tomorrow, should you ask me for the world
Somehow I'd get it, I would sell my very soul
And not regret it for to live without your love
Is just impossible
Oh impossible,
Impossible.
Impossible
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Upon further introspection I think the song may not have an intrinsic meaning, but simply represents a sort of "holding open the door" for people who otherwise might be affronted by this song/band's unusual style. I know, as a sort of armchair rock-historian, that there have been few bands so daring and so true to the sound that wanted to emerge from within, whether the creator wanted it or not. This band handled it with elegance and grace seldom, if ever, seen.

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The man has pseudo-friends who constantly criticize his actions. They moralize him, "teach" him and advise him to make a significant change in his life, because the way he is and what he does is not what they say it should be. They may find his life lame or immoral. They hold themselves up as role models. The man replies that he will make his own choices and decisions and he does not agree to unconditionally make himself under the influence of questionable quality advice. He justifies this by saying that there is always someone for whom he will be important, no matter what he does and no matter what he is. Although it is not said directly, I read it as meaning that he will always be important to himself in every way and he will always have his own support.
"Everyone is different and maybe that's a good thing, but you exceeded that mark 1000 times" - I remember very well how sad the words I once heard (from my peers and it was in negative context) at school made me feel.

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