Yes, you can. Many visas have a list of requirements that includes a well-crafted business plan.
EB visas (EB-1, EB-2, EB-3, EB-4, EB-5) are employment-based visas that provide a permanent residency option for entrepreneurs and investors. Visas for permanent residency have a higher requirement for qualification, so sometimes entrepreneurs consider temporary visas for starting a business in the USA: L-1A, E-2, H-1B, O-1A, F-1, J-1.