Well, probably not, since the IRS will block your return if you are rejected too many times, and that number is like 5 attempts I think.
Anyway, if your return is rejected, that means that some item on the return does not match what the IRS has on file for you. It could be your name, SSN, the SSN of your dependents, last year's AGI, or something else. Without knowing the rejection code, we can't help you with specific suggestions.
The IRS does not officially open until January 29. They take some returns early for testing, but we don't know how many, or when, or who. I suggest you try submitting one more time on January 29 or 30, in case their system is not quite set up yet. If that fails, and you are convinced your return is correct, your only option is to print and mail your tax return. If the IRS has incorrect information in their database, there is no way for you to correct it.