*When there is a person who is frowning.
You can say the person has a bad look on his/her face.
'The person's look is bad' doesn't really make sense, as a native speaker would be confused about 'look' in this sentence. It seems to imply that they are looking at someone in a bad way, so would need someone/thing to be looking at. Alternatively a 'look' could mean their fashion style, for example: 'he is wearing a look from the Fall/ Winter 2025 collection'.