No, child support will not automatically change if a parent loses their job due to COVID-19. If you lose your job or are furloughed and can no longer pay, you must go to court to get the order modified. Until then, you are legally obliged to continue payments. Failing to pay court-ordered child support can result in dire consequences.
If it is the Division of Child Support (DCS) that set the child support order, they may have the ability to change it depending on how big of a change there has been to your income. DCS offices are currently only available by phone, at 1-800-422-KIDS (5437).