No, not necessarily. When you purchase a business, you have several options to choose from when it comes to the business premises:
Leasing the premises = this may involve creation of a new lease or assignment (transfer) of an existing one.
License to occupy = a licensee has the right to use and occupy a property but no right of exclusion, and are bound to the conditions specified in the licence.
Purchasing the premises = if the current landlord is willing to sell, you may be able to purchase the commercial premises.