[Nyororin]

Yes, you can apply for an extension...
In special cases where there is something serious preventing you from leaving the country within the limits of your original visa. NOT something they just give out if you ask.
Say, if you`re in an accident and can`t leave the hospital... Or if there is something that prevents the plane from flying, etc etc.

In other words - yes, anyone can apply for an extension. But don`t expect them to actually grant it.

Do not plan a trip under the assumption that you will be able to do this. In fact, they have been well known to turn away people whose return flight is not within the range of the original visa.