Not a teacher.
I'm not 100% sure if temperature could be better.
(If you are talking about being/getting sick.)
1. I feel I have some temperature.
2. I feel like I have some temperature.
Both sentences have different meanings, though.
The first one says that you definitely have temperature.
The second one says that you don't know if you have temperature, but you feel as if you have some.
Let's see what the teachers or some other members say
P.S. Both sound good to me, but as said: Neither a teacher nor a native speaker.