Hello, @Salt City Detailing.
There's no need to make a $0 estimated tax payment and you don't have to file a 1040(ES) form either. Also, the deadline for Q1 estimated tax payments is extended on July 15, 2020.
You can read through these articles to learn more about managing your estimated taxes:
Swing by here if you have other questions about estimated taxes. I'm always here to help.