Is it possible to get no stars on a cup in Mario Kart 7?

I have had a 2-star rank for all my cups, and have found out the Gold Wheels required all cups with a 1-star rank (at least). Is it actually possible to get no stars?

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Why does Mario Kart 7 only have 2 stars?

You have to finish 1st in every Grand Prix Cup (includes all cups from 50cc, 100cc, 150cc, and Mirror mode). Finishing first with less than 40 points earns 1-2 stars, while finishing first with 40 points earns 2-3 stars. 3 stars are only granted if you dominated the entire cup by spending most of the time in 1st place.

How do you get all stars on Mario Kart 7?

A 3-star rank as seen in Mario Kart 7. Star Ranks are a classification on how skilled a player is on Mario Kart: Super Circuit, Mario Kart DS, Mario Kart Wii, Mario Kart 7, and Mario Kart 8. The player earns them for Grand Prix and Mission Mode. There are three variations of star ranks.

What does Star mean in Mario Kart 7?

Unlockable Cups

Mushroom Cup - Unlocked from the start.

Flower Cup - Beat Mushroom Cup.

Star Cup - Beat Flower Cup.

Special Cup - Beat Star Cup.

Shell Cup - Unlocked from the start.

Banana Cup - Beat Shell Cup.

Leaf Cup - Beat Banana Cup.

Lightning Cup - Beat Leaf Cup.

Mario Kart 7 - Perfect 3-Stars Rank Tip Guide (Nintendo 3DS)

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Ylanite Koppens, lilartsy, RODNAE Productions, Karolina Grabowska