I don't think that Customer Support will change the names but only tell you to make an exchange of the passes, if the conditions for the pass allows that. The cost for an exchange is15 EUR per pass.
Here is information about how to make an exchange.
https://www.interrail.eu/en/interrail-passes/ordering-info/refund-exchange-policy
You can contact Customer Support through this form if you want to check with them. Clearly write when you will start your travel as Customer Support give priority to people travelling soon.
https://eurail.zendesk.com/hc/en-001/requests/new