Oh yes you can. I have a huge one and I love it for everything. If you are making scrambled eggs be sure to continuly scrape (use plastic spatula) the eggs to the middle to keep them from running to the edges. After they start firming you can just let them cook.
I made a whole pancake and scrambled eggs breakfast for a Men’s Church breakfast using two electric griddles. They are the best!!!

You can make grilled cheese on it. Eggs might be tricky because they will what to run off.

Yes, you can scramble eggs and make grilled cheese, pork chops and hamburgers, pancakes, sausages, bacon.fry corn bread. the sky is the limit. I love them. make sure that you use a heavy plastic specular or spoon to turn or stir because if you use metal utinsils to stir with it will ruin the teflon coating on the grill.