I'm pretty sure BRTD is the only person here who could have started this thread. Of course you can dislike Jews (or just Jews in Isreal) and Muslims too. Some people don't like white people AND black people. Some people don't like Russians and whomever the Russians hate the most this week. Some people just don't like humans.
The question has absolutely nothing to do with liking or disliking Jews. Try some reading comprehension.
Yes, that is not only possible but also quite commons. Racists, fascists, etc... hate jews as much as arabs.
It also has nothing to do wih Arabs.
Not all Arabs are Muslim.
Not all Muslims are Arabs.