No. Service Desk (SD) does not provide such a service to check the setting of user's router configuration.
Please see "Appendix 2. Example of Connection Configuration" listed in "arrownet Guidelines for NW Connection(Common)" posted on System Documents Site.

[System Documents Site]
-arrownet Guideline for NW Connection (Common)

*Log in with your Target JPX Site ID or arrowface ID.
URL: https://faqsd.jpx.co.jp/faq/show/2086?site_domain=en_system_documents

*Log in with a dedicated ID (existing ID).
URL: https://faqsd.jpx.co.jp/end_user_login?site_domain=en_system_documents&id=2086&redirect_controller=faq&redirect_action=show