Can aircraft fly without wings? Is it possible that a aircraft can fly without having wings? I am wondering if somehow it can fly then will aircraft will be able to maintain the balance.
Yes, they can, these are called lifting body aircraft.


Source: Wikimedia

They maintain directional stability using the control surfaces near the tail.

If you like retro documentaries, here's one on YouTube about lifting bodies done by NASA.

As for aircraft that normally have wings, they can sometimes fly when losing (most) of one of them: