Reading the poll itself, rather than the abstract:
Q17 If a permanent, two state solution is able to be worked out, would you prefer to become a citizen of Palestine, all of the rights and privileges of other citizens of Palestine, or would you prefer to become a citizen of Israel, with all the rights and privileges of other citizens of Israel?
Definitely Prefer Palestinian: 15.7%
Probably Prefer Palestinian: 14.6%
(total prefer Palestinian: 30.3%)
Definitely Prefer Israeli: 11.2%
Probably Prefer Israeli: 23.4%
(total prefer Israeli 34.6%)
Don't Know / Didn't Answer: 35.1%
So yes, you are right that 'more' did. But only a few percent, and not a majority (and only 11.2% had actually made that a definite position).
Also, the Fatah and Hamas questions were actually framed as whether people see things as part of their identity and in this case how important it is for them to sympathise with various movements.
Q9 (continued) I’m going to ask you about a number of identities. For each one, please tell me how important that identity is to you.
Being Sympathetic to Fatah:
Extremely important: 10%
Very important: 10%
Moderately important: 15%
A little important: 14%
Not important at all, or Declined to answer: 51%
Being Sympathetic to the Islamic Movement inside the Green Line:
Extremely important: 8%
Very important: 12%
Moderately important: 16%
A little important: 16%
Not important at all, or Declined to answer: 49%
Being Sympathetic to Hamas:
Extremely important: 7%
Very important: 10%
Moderately important: 14%
A little important: 16%
Not important at all, or Declined to answer: 54%
The last category does not distinguish between the two different answers, which does mean it's hard to really be sure of the significance of the other figures. But it seems they just took the Moderately/Very/Extremely answers and took that.
Which is not actually the same thing as asking if they are sympathetic to those movements.
[Oh, in the detail I found the breakdowns - for each question, about 17-18% declined to answer the question. I wonder if some did so because they did not want to admit they did support or identify with those groups? We'll never know]