Probably not, given the possibility that they can be const_casted back into mutable values. Locating static const values in read-only pages would result in crashes from valid statements in the language. In other words if you put a static const in a read only page, it would probably be considered a bug in your linker.
Generally yes, if you have a bunch of const data in your C++ code, it will go in .rodata. Depending on the compiler/flags/optimizations, of course. https://stackoverflow.com/a/44938843