Yes, you can request that your documents, certificates and certificates of achievement be reissued if they contain your gender or first name. See §10, SBGG. On request, for example, the employment certificate can be issued with reference to the birth name, i.e. Kim (born Christian) Hofmann. The documents to be amended must be presented in the original when they are reissued and will be confiscated or declared invalid by Leibniz Universität. If the document to be amended cannot be presented, the person must declare on oath that they are neither in possession of the document nor aware of its whereabouts. Your personal administrator is also responsible for this.