Yes, you can still use Get My Payment to check your payment status even if you are not required to file a tax return. Eligible federal benefit recipients who do not usually file a tax return will be able to use Get My Payment to check their payment status for their own payment when it’s been issued. Additionally, individuals who do not normally file a tax return can use the 'Non-Filers: Enter Payment Info Here' tool on IRS.gov to submit basic personal information to quickly and safely receive their Economic Impact Payments.
Sources:
Notice 2020-20
Notice 2020-18
Publication 5412-C (4/2020)
Publication 5412-U (9/2020)
Publication 5420-A (10/2020)