No, despite sounding quite the same and having a strong physical resemblance, both are two different types of screws. While the former features a pointed drill bit, at the screw end, that can drill into the material and cut its own thread, eliminating the requirement of a pilot hole, the latter is unable to drill through surfaces and need a pilot hole for tapping threads.
Users should use self-drilling screws according to their most suitable applications and not interchangeably with self-tapping screws as that would result in a weaker joint between materials.