Using a draft C standard that I've managed to track down (N1124), we have similar rules. The section on addition expressions (§6.5.6/2) says that
For addition, either both operands shall have arithmetic type, or one operand shall be a
pointer to an object type
And an object type is defined in §6.2.5/1 as
The meaning of a value stored in an object or returned by a function is determined by the type of the expression used to access it. (An identifier declared to be an object is the simplest such expression; the type is specified in the declaration of the identifier.) Types are partitioned into object types (types that fully describe objects), function types (types that describe functions), and incomplete types (types that describe objects but lack information needed to determine their sizes).
Since function types are distinct from object types, this suggests that pointer arithmetic on function pointers is prohibited.
In C++, this operation is illegal. The definition of pointer addition, given in §5.7/1, says the following:
For addition, either both operands shall have arithmetic or enumeration type, or one operand shall be a pointer to a completely defined object type and the other shall have integral or enumeration type.
However, §3.9/9 states that
An object type is a (possibly cv-qualified) type that is not a function type, not a reference type, and not a void type.
Taken together, this means that you cannot increment a function pointer in C++.
Hope this helps!