he could enter but he wouldn't without permission as his vampyrical torment exists deeper than his protect and sever police man gentle nudges.

A... Men... Let's start with grammar.

If we're going by carpe jugulum rules - yes.

I believe that a vampire is a representation of exploitative forces that you invite into your own life but could avoid if you chose to. A policeman is hard to avoid, especially if they have a warrant. Therefore, a vampire cannot be a policeman in the first place, since the state of being a policeman overwhelms the state of being a vampire.

that depends on the setting you're writing.

I think it would be more interesting to instead say yes or no, and then explain why it's that way in your setting.

if yes, perhaps the law is magic in its own right, or perhaps the state is ordained by god. If the vampire is a protagonist, then perhaps the story might be interestes in exploring the necessity of due process and the consequences of not doing that.

If no, perhaps it is because the police are a corrupt institution lacking support of any higher supernatural power. Our vampire cop might feel forced to use increasing sinister methods of gaining entry to suspects homes.

The answer could even be different depending on location, and showing the difference could be very interesting.

We need a landlord to weigh in on this.