Assuming a privately funded project, they are not required to include an elevator in the design. If they don't provide an elevator, then only the ground floor is required to be made accessible.
1009.1 Accessible means of egress required. Accessible
means of egress shall comply with this section. Accessible
spaces shall be provided with not less than one accessible
means of egress. Where more than one means of egress is
required by Section I 006.2 or l 006.3 from any accessible
space, each accessible portion of the space shall be served by
accessible means of egress in at least the same number as
required by Sections 1006.2 or 1006.3.....
AMOE is only required from accessible spaces. In the case of a privately funded single stair building with no elevator, only the ground floor would require AMOE.