Yes, it is possible for it to cause a delay. Please see the following information per the IRS regarding the 1095-A:
"If you have already filed your tax return, you will need to determine the effect that the changes in your corrected form might have on your return. Some changes may not affect your tax return or require any action on your part, while others might. Compare the corrected Form 1095-A to the original form to determine the nature of the change. The information below can help you assess whether you should file an amended tax return, Form 1040-X. If you are uncertain whether you should amend your tax return, you may want to consult with a tax preparer"
You can also view this information on the IRS website here: Corrected, Incorrect or Voided Forms 1095-A
If you need to Amend your tax return, wait until you have received your refund or taxes due paid, then you can go here for instructions on amending your return. Unless you receive communication from the IRS to do otherwise.