Why shouldn’t you? A girl should appreciate when their date is trying to save money as it shows he is careful with money. Also, it never hurts to ask for discounts. One time I went out with a girl to a hotel lobby and we both had visible physical handicaps and she suggested when I go to get the drinks to ask if they had a discount on drinks for handicapped people. They did :), I never would’ve guessed, I wished I would have thought of that could have saved me money on previous dates.