Yes! You can create both a business location for customers to go to you and create a mobile business where you go to them.
When adding a location chose "Customers travel to me AND I travel to them", set the radius in which you're willing to travel from that address, and check the box that says "Travel to customers."
If you would like to set a different location in which you are willing to travel simply add that location from your Business Info page (My Business > Business Profile). When adding the location choose "I travel to customers", set the radius you're willing to travel, and check the box that says "Travel to customers." You can also use an intersection if you want to keep your address private.
For more information contact us at email@example.com.