This is a very personal question, as everyone has a different definition and acceptance of "jealousy". For some people, it may be uncomfortable or jealous to see their girlfriend chasing stars because they may feel that their girlfriend is giving too much attention and time to others instead of themselves.
However, for others, they may be able to understand and accept their girlfriend's star-chasing behavior because they think it is a hobby and it doesn't affect their relationship.
It's important that if your girlfriend is making you uncomfortable chasing stars, you should communicate openly with her about your feelings. Don't try to suppress your emotions, as this can lead to resentment and conflict.
Instead, try to express your feelings in a rational and respectful way, listen to her, and find ways to solve the problem.
At the same time, it is also important to understand and respect your girlfriend's interests and hobbies. If she is a healthy hobby that doesn't affect your relationship, then you can try to accept and support her. Not only will this make her feel understood and respected, but it will also strengthen the emotional connection between you.
In short, whether or not you will feel "jealous" because your girlfriend is chasing stars depends on your feelings and acceptance. It's important to communicate openly, understand and respect each other's feelings and interests.