No, the status of your tax return or tax refund is not dependent on whether or not you will receive a stimulus payment.
See this IRS website for stimulus payment information - https://www.irs.gov/coronavirus/economic-impact-payment-information-center
I've used the same debit card to get my taxes for the past 3 years I don't have an actual bank account turbo tax has my information. Will my stimulus be deposited on this same debit card
Turbo Card and Stimulus Deposits - What you need to know
The IRS is sending stimulus payments to eligible taxpayers who filed a tax return in either 2019 or 2018 and chose direct deposit, and is depositing some stimulus payments onto prepaid debit cards for filers that chose to receive their refund through that method.For the majority of prepaid debit card holders there is nothing more to do as the stimulus payment will be deposited to their account. If your customer no longer has access to their debit card, we encourage them to visit https://turbodebitcard.intuit.com