Just wondering if I can apply a copy of police check back in my home country (hong Kong)?

Marian, you can apply for it at the HK Police Force. For enquiries, you may write to the Office, e-mail eo-cncc-ibpolice.gov.hk, call 2860 6557, or fax 2200 4321. If you are now abroad, you can also apply for the No Criminal Conviction Certificate by postal application.