Yes, you can still report your business income and expenses on your taxes even if you don't have a business license. It doesn't
matter about licensing as long as you were operating your business with the intent to earn a profit then you can deduct the expenses. You'll need at least TurboTax Self-Employed (online)
or TurboTax Home & Business (desktop version), to report your business income and expenses in the business section of that program.