Is it permissible to work on designing a website for managing student registration, which includes a section for confirming insurance payments, knowing that these types of insurance may be forbidden?

There is no harm for the beneficiary in participating in compulsory insurance that is prohibited, as long as the service or benefit he wishes to obtain is permissible in itself. And there is no harm for the questioner in creating this website, as long as its original purpose is permissible, which is managing student registration.