No. You do not need to re-file online or file a 1040X.
TurboTax FAQ:
https://ttlc.intuit.com/questions/2562274-what-does-rejected-mean
If you prefer to fix your rejected return, follow the steps in this link:
https://ttlc.intuit.com/questions/1901491-how-do-i-fix-a-rejected-return
