Yes, this sentence must be used with the following negative sentence. This sentence pattern is different from the habits of China people and needs to be understood carefully. For example:

-Do you have a minute? Do you have a minute?

-Yes, I have time. Yes, I have time.

-No, I'm Icabe Kenezet. No, I don't have time.

-Do you have a minute? Don't you have time?

-Doctor, I have time. No, I have time.

-No, I'm Icabe Kenezet. Yes, I don't have time.

By the way, Sport treiben is used for sports.