You can, just remember the validity of the PCC. If you are living in Qatar now, then is valid for 6 months. If you lived in Qatar before and aren't going back, then is ok, no expiration.
"If you are currently living there, or received the police certificate before leaving, the police certificate must be issued within six months before you apply.
If you have lived there in the past, the police certificate must be issued after you last lived in that country or territory."