Some probably do, but Palestinian Muslims aren't a homogeneous group that agrees on everything. It's kind of like asking if American Christians identify with abortion clinic bombers.
If you look at popular support for abortion clinic bombers among American Christians and compare to popular support among Middle East Muslims for anti-Israel or anti-US terrorism I suspect the former number would be a lot lower. Admittedly, I'm speculating.
To be fair, there is a difference between the reasons people do support bombing Abortion Clinics (moral indignation) and the reason for supporting terrorism ('OMG, they killed my family and bombed my house'). The two things aren't really comparable.