The restrictions aren't as bad here as they are in big food producing nations such as Australia, but you aren't supposed to bring in any meat or dairy. Plus if what you are importing does not meet local food standards, you could have the goods confiscated, but that's unlikely if your items are from the UK (other than if you are reselling, in which case some relabelling might be required). If you are packing your goods amongst a container load of household goods and furniture, customs are unlikely to find them, unless you are unlucky enough to be one of the containers selected for a random customs selection, or if food is listed as an item on your manifest. If you have a picky shipper, there is a risk that they will refuse to ship it.
The only bad Hong Kong customs experience I've heard about is someone who had wine in their shipment container and they got stung for huge duty charges, but it was very nice wine, so they paid.