No, the name on your Covid-19 passport should match the name on your passport when travelling. You should check that your first name and your surname on your passport match how they are displayed by your NHS COVID Pass at least 3 weeks before you travel. If the names are different, contact your GP practice to have your details updated. Please note, name changes could result in temporary issues with matching your GP record to your hospital and prescription records. Government advice can be found here.