No!
It is perfectly legal, moral, and wholesome to use malloc() and delete in the same program, or to use new and free() in the same program.
But it is illegal, immoral, and despicable to call free() with a pointer allocated via new, or to call delete on a pointer allocated via malloc().
Beware! I occasionally get e-mail from people telling me that it works OK for them on machine X and compiler Y. Just because they don't see bad symptoms in a simple test case doesn't mean it won't crash in the field. Even if they know it won't crash on their particular compiler doesn't mean it will work safely on another compiler, another platform, or even another version of the same compiler.
Beware! Sometimes people say, "But I'm just working with an array of char." Nonetheless do not mix malloc() and delete on the same pointer, or new and free() on the same pointer! If you allocated via p = new char[n], you must use delete[] p; you must not use free(p). Or if you allocated via p = malloc(n), you must use free(p); you must not use delete[] p or delete p! Mixing these up could cause a catastrophic failure at runtime if the code was ported to a new machine, a new compiler, or even a new version of the same compiler.
You have been warned.