The phrase 'may have any' is correct and is usable in written English.
You can use it to express possibility or uncertainty. For example, "You may have any of the books from the library."
A symbol may have any character in its name.
Each cell may have any number of locks.
The plates may have any combination of the classical free, simply supported or clamped boundary conditions.
The other pair of edges may have any degree or type of uniform constraint.
In addition, the camera plane may have any (unknown) orientation with respect to the robot workspace.
Anbar's tribal leaders may have any number of motivations for their alliance with the United States.
Police are continuing to appeal for anyone who may have any information to come forward.
You may have any color you want -- as long as it's pink or white.
Each island may have any number of decoy chests of either size.
State-owned production firms may have any windfall profits grabbed back by government.
Sediment accumulating under nonmarine conditions may have any clay mineral composition.
