You can use pans on the griddle and use the electric griddle as a stove top but it would be a very inefficient way of cooking in your pan.
The griddle would take longer to heat the pan up enough to cook with but it will work.
If you do not have a stove I would recommend buying a cheap hot plate to put the pans on to cook with as they would work much better and just use the griddle for things such as pancakes, sausages etc.
The griddle is not really made to be used as a stove for pots and pans but it can and will work if you're willing to wait a bit longer to cook your foods if that's all you have.