Based on the provided reference, Kim Kardashian is a celebrity who has spoken about struggling with a skin condition.
According to information from BBC, Kim Kardashian has revealed that she suffers from psoriasis. This is a chronic condition that affects the skin.
Psoriasis, as described in the reference, can leave the skin sore, dry, and flaky. Kim Kardashian suffers from psoriasis across her body, including on her face.
You can find more information about celebrities who have discussed their skin struggles in articles like Seven stars who have struggled with their skin (like everybody else) - BBC.
While the term "bad skin" is subjective, the reference explicitly states that Kim Kardashian has a condition (psoriasis) that causes symptoms like soreness, dryness, and flakiness.