Can I get a Hong Kong resident card in this situation?

Of course. As long as your father agrees to let you go to Hong Kong, you can apply!

Because your father came to live in Hong Kong in his 10 s, and your father was 40 years old when you were born, so your father was already a permanent resident of Hong Kong when you were born! You can apply for "Children born to Hong Kong and Macao permanent residents in the Mainland to settle in Hong Kong" at the Exit-Entry Administration Office where the household registration is located! This application has been approved, and you will have a permanent ID card waiting for you as soon as you arrive in Hong Kong. Because then your one-way permit will have a confirmation of your right of abode in Hong Kong, which is a small sticker, and that is confirmation. Rare!

So, as long as your father agrees that you can settle in Hong Kong, you can apply! At that time, the Exit-Entry Administration will send you and your father back to the designated hospital for paternity test (DNA). As long as you are father and son, you can be approved to settle in Hong Kong in a year or so! This DNA test must be a hospital designated by the entry-exit administration. Oh, you didn't just make it yourself. At that time, two staff members of the Exit-Entry Administration will go to the hospital to draw blood with you. The whole blood drawing process will be completed under their supervision and they will formally sign it. . .

Do it!