I remember this show I used to watch. It was a girl, she had blond hair and she lived with her mom. The theme song at the beginning of the show was like "would you like to swing from a star". She could stop time and her dad was an alien or an astronaut. She would go upstairs and talk to him through this gem thingy.
You are thinking of "Out Of This World", which ran on NBC in the late 80s.
The series revolves around Evie Ethel Garland - a young girl who discovers on her thirteenth birthday that her father Troy is an alien from the planet Antares Prime, in the Scorpio Galaxy. Evie's half-alien heritage gives her superhuman abilities, with most of the episodes revolving around Evie misusing her powers and causing some trouble which she spends the rest of the episode fixing