Russia's moon mission failed after the Luna-25 spacecraft slammed into the moon.
The nature of the "emergency situation" and how it may impact the lander's landing on the moon is as of yet unclear.
Keisha Schahaff, who is married to an Israeli husband, and her 18-year-old daughter, Ana Mayers, wore the flags of Scotland and Israel on their suits.
The Russian lunar mission, the first since 1976, is racing against India, which launched its Chandrayaan-3 lunar lander last month, and more broadly with the United States and China.
Lockheed Martin said the project is an advancement in propulsion technology – from chemical propulsion engines to nuclear thermal propulsion (NTP) engines.
The mission would extend 10 times past that of the Mars mission, with a total estimated travel distance of 5 billion Kilometers.
Commentators on Chinese social media have speculated that Beijing has been developing a spacecraft like the US Air Force's X-37B, an autonomous spaceplane that can remain in orbit for years.
SpaceX announced during the final minutes of the countdown that it was scrubbing the flight attempt for at least 48 hours, citing a pressurization issue in the lower-stage rocket booster.
The Dragonfly mission will start its three year voyage to Titan, Saturn's titanic moon, in the year 2027.
An external coolant leak was detected on the Russian spacecraft Soyuz MS-22, rendering it inoperable for a standard return mission.