Possible, but chances are near zero. No solo miner with a single device will think that way, it's like suicide and wasting of resources. Joining a pool is the best way to do and earn in smart way. Now, if we are talking a solo miner with lots of asic device, say hundreds of them, it's possible with mid diff. But still, most mined block are from mining pools, only came from "unknown miners" so joining them will give you ROI in shorter time than being solo.