It's fair to say that it wasn't directly created by them but their actions in the years prior did lead to the end result. The UK administered the region and had committed to making it a "national home" for the Jewish people. That doesn't necessarily mean a state, but the result was a rapid shift in demographics.
It didn't help that the UK had also made promises of independence to other groups in the region.
> There was indeed a UN decision to partition the land and to acknowledge Israel, but no one was enforcing it. The Arabs and Jews were left to battle it out in a horrible war. Jews were facing the real possibility of a second extermination only 3 years after the holocaust (I don't think I'm exaggerating the consequences of what defeat would have looked like).
I entirely agree with you on the situation that Jews in the region were faced with at the time. One of the depressing things is that despite the proximity to the holocaust, antisemites in allied countries saw the situation as a way to encourage Jews to leave.
I can see how things might have turned out better if there hadn't been so much migration in such a short period of time.