It is possible, but it will be a heck of a frustrating day as you wait for fellow anglers to abandon their holes. You have to get through the ice to reach the fish, so, by and large, if you don’t have an auger, your chances of catching fish are extremely limited. You could employ ancient methods such as chopping through the ice.  In any case, you shouldn't be fishing for survival like the ancients, and a standard hand auger should suffice.