No, you need the Self-Employment version of TurboTax. Since you have a small business (assuming it is a sole proprietorship), you need to file a Schedule C to report your business income and expenses. That form is only available in TurboTax Self-Employed. When you go to enter your business income, TurboTax will prompt you to upgrade. So, you don't need to do anything except to accept the upgrade when you get there.
TurboTax Self-Employed will guide you through entering all of your business income and expenses, but Deluxe will not. To set-up your business profile in TurboTax, see How do I report income from self-employment? I will leave some links to some information you may find helpful as a new business owner below.
Self-Employed Less Than a Year? How to Do Your Taxes
What's different now that I'm self-employed in 2021?
Starting a Business
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