Can I refuse to go to the station if I am being 'invited'?

It depends on the legal basis the officer names.

An invitation under Art. 21 of the Law "On Police" is voluntary. The officer says: "We need to talk, let's go to the station." Both appearing at the station and leaving the station are voluntary actions (Art. 21, cl. 3). You may refuse. The maximum time an invited adult may be kept at the station is 4 hours (2 hours for a minor).

Identification under Art. 20 is already a coercive measure, applied when your identity cannot be established within a reasonable time voluntarily (Art. 20, cl. 3). Here refusal is not possible: if your name cannot be verified against the databases and you have no second document, you may be transported to the station for fingerprinting and verification.

What to do: ask directly — "Is this an invitation (Art. 21) or identification (Art. 20)?" The answer defines your rights. For an invitation — politely decline. For identification — ask for a few more minutes to confirm your identity voluntarily (cloud-stored document photo, calling a friend who can bring the original).