The dreamer's tale

They were two people who were supposed to had to love (have loved) each other in an "ordinary way" since the beginning. That's what the rules says.
But one of them born started breaking rules.
And the other one had learned ('learnt' is better) how to break rules months before their first sight.
Both of them did it (so) without any bad intention, even without trying.
Both of them were just dreamers.
The problem was that their dreams were incompatible.
The dream of one of them had to kill the dream of the other. That wasn't a rule. It was life.
Not (Nor) was there any rule saying that they had to be together.
So, they couldn't break it. So, they were together.
And together they learned that it's possible that a good person destroys (can destroy) another good person.
That it is possible to feel love and hate to someone, and don't know what are you feeling at the moment.
And when they couldn't support the pain of being hurt while you hurt without want it(And, when they could not longer bear the pain of being hurt while you continued to hurt without realizing -- not sure if i got the meaning right) , they gave up their dreams to stop it.
They not longer were dreamers.
They not longer were breaking rules.
Now, they are just two people together.
They are just  routine.

The dreamers' tale

They were two people who were supposed to had to love each other in an "ordinary way"  since the beginning, that's what the rules says.
But one of them started born breaking rules.
And the other one learned how to break rules months before their first sight.
Both of them did it without any bad intention, even without trying.
Both of them were just dreamers.
The problem was their dreams were incompatible.
The dream of one of them had to kill the dream of the other's. That wasn't a rule. It was life.
There was no Not was any rule saying they had to be together. (don't you mean: there was no rule they can't be together?)
So, they couldn't break it. So, they were together.
And together they learned that it's possible that a good person destroys another good person.
It is possible to love and hate someone at the same time, without knowing what you feel at the moment. = That is possible feel love and hate to someone, and don't know what are you are feeling at the moment. (your sentence is also correct, but I couldn't resist adding something to this wonderful piece;) )
And when they couldn't stand support the pain of hurting without wanting to hurt being hurt while you hurt without want it, they gave up their dreams to stop it.
They were no not longer were dreamers.
They were no not longer were breaking rules.
Now, they are two people together.
They are just routine.

(very nice, congratulations)