Does the gyno test for pregancy after a missed period or many missed periods?

Mine will test 10 days after a missed period. You'd have to call yours to find out their policy.

Most will want you to be 10 to 15 days late before they test

A physician, (whether OB/Gyn or not) will test at your request if the timing is right. If the symptoms are a missed period, then a test is highly likely.