Can cats recognize when you feel sick or depressed?

Some animals can feel wieh there is an issue. We have a Little short haired Russian Blue cat that is about 12 years old. She knows when we hurt or are sick. She will ty ro sit on or around whatever hurts and trys to "take care" of the person that is not doing well by following them closely and she also scolds the other people in the house if they leave the sick/hurt one alone too long. My daughter used to get really bad nose bleeds in the middle of the night. (she had a surgical lproceedure to aleviate that, so it does not happen any more) If I did not get up and be with her the cat would wake me up and pace between my room and the bathroom until I got up. Also, if my daughter, who is 19 leaves the house, the cat is insufferable if she did not say goodbye to her. So, yes, they feel stuff and they are like little people.