No because you need to register in person with you ID, which is a legal requirement in Hong Kong. You will only find data cards online from Hong Kong without phone number.
As mentioned in Mainland China you can find some seller who still can provide you such a card already registered, but technically speaking it's illegal. You can see if you can find one (communicate in Chinese) and if they ship abroad.
We had purchased several ourselves this way recently and this was the only solution found beside purchasing︀ in Hong Kong, many online virtual numbers also require proof of address in Hong Kong︁ and can't receive sms.