The answer is YES.
A Shia Palestinian writes to set the record straight in reference to this post: Is Sunni-Shia Rivalry Responsible for the Palestinian Intifada?
"One would normally think this is a no-brainer since there are no Shia Palestinians."
there are shia palestinians. my family is palestinian and shia. we are from upper galile . the problem was/is that confession became more important in the late 70s than nationality... so you will find not many shia whi call themself palestinians... but there still are some...like us.