Can a patient currently going through chemotherapy take medicine for anxiety and anger if he feels he became sensistive and angry always?

Get an evaluation: I'm sorry you're going through a difficult time emotionally and physically. The stress can certainly make anxiety and anger worse. Ask the doctor overseeing your chemotherapy for a referral to a psychiatrist to evaluate you for medication to help your mood. Also ask about support groups to attend. Connecting with others going through similar illness can make a huge difference. Best wishes.

Of course: These are a good adjunct to managing situations. It's very difficult to be on cancer treatment, and one's feelings can be very much on edge. Keep lines of communication open and especially, keep criticism and blame to a minimum by all parties. Best wishes.