There is no mechanism by which someone can request delegate access. Administrative Assistants and other support staff can request delegate access via email. An email template is provided below.
Hello [Dr. Smith],
I am writing to request that you add me as a delegate to your My NCBI account. This will let me assist you in managing your publications (via My Bibliography) and grant-related documents (via SciENcv). You can add me as a delegate by following the instructions provided in this email. I will confirm when I have received and accepted the delegation request.
[Include the instructions outlined in this FAQ]