Sure, it’s possible, but it’s really not a good idea. If you intend to do this then you will have to shut it down every now and again to make sure that it can cool properly. Whatever the case, you will need to refuel it after a while. There are some generator models that come up with backup power options and low oil auto shut off, but it’s important not to rely on these features if you want to be able to use your generator for many years to come.