Is it possible to abseil on your own?

it is very much possible!

But If you dont know any thing about climbing better not to do it of your own.You will be putting your life into threat.

The way rappelling is typically done is that the rope is threaded through a top anchor so that equal lengths hang down to the ground on each end. Both ends of the rope are then threaded through the rappel or belay device. Rope is passed through the device until the climber is on the ground below or at the next rappel station. At this point, one end of the rope is pulled down so that the other end gets pulled up and through the top anchor to retrieve the rope. So yes it is very common to rappel alone and still be able to retrieve the rope. It is quite uncommon to do what is called a "single line rappel", in which the rope is tied at the top and the climber rappels down a single line. This would really only happen in situations in which a fixed rope is in place, at camps or adventure courses in which retrieving the rope is unnecessary, or in dire circumstances when a climber needs to rappel farther than his rope will allow in the typical double line fashion (recall that using a 60m rope in a typical double line rappel allows you to rappel 30m). However, when two ropes are used for a climb, they are often tied together and threaded through the anchor so that a "full-length" double-line rappel can be done, after which the end of the rope with the knot on it would be pulled to retrieve both lines.