Welcome to the Wefugees Community and thank you for reaching out to us.
As the platform and our experts are based in Germany, I am afraid that we might not be able to share sufficient information on rules and regulations in Cyprus.
However, as you are still in the asylum procedure, you will most probably not be allowed to travel abroad or to leave the country for a marriage. Your only chance to marry now will be that your partner travels to Cyprus. Unfortunately, I am also not familiar with the marriage procedure in South Cyprus. In most of the countries both parties will need to provide minimum a passport, birth certificate and a certificate of no-impediment.
Please get back to us if you want to discuss your case further.
All the best,