Answer: The correct answer is False.
Step-by-step explanation:
Milky way is a type of spiral galaxy. Galaxy is defined as the group of stars.
Planetary system is defined as the system in which non-stellar objects are bounded gravitationally and orbit around a star.
Milky Way galaxy has Our Solar system which includes Sun as a star and there are 8 planets which revolve around this star in orbits. The planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune.
Hence, Milky Way galaxy does have a planetary system and the given statement is False.