@fify-- Yes, it's possible.
Do you also experience cramps, gas and nausea after eating meat? Does your stool look different, for example, does it look like it has mucus?
These are symptoms of protein intolerance. This is when the body doesn't have the enzymes required for protein metabolism.
You may want to speak with your doctor about this. They can run some tests to determine if you really do have an intolerance and what your diet should be like.