In theory, nothing will block you from departure, although you should apply for a replacement in principle. In practice, there is absolute no need to apply for a replacement anyway. I never intentionally keep my landing slips for Hong Kong, and there was not a single time which the immigration officer actually cared about it. The landing slip is mainly for your reference so that you don’t overstay.
See answer below from the Hong Kong Immigration Department. You can easily get a replacement although it appears you do not require it to clear departure formalities.
Q3: Is it necessary for a non-permanent resident to apply for a
replacement of landing slip in case of loss and where to apply?A3: The landing slip bears a non-permanent resident’s conditions and
limit of stay. He/she should keep the landing slip while remaining in
Hong Kong. Under normal circumstances, loss of landing slip will
not affect the departure clearance formalities. Those who require a
replacement of the landing slip may apply for free at the Extension
Section (5/F, Immigration Tower, 7 Gloucester Road, Wanchai, Hong
Kong).
Credit:stackoverflow.com‘
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