Is this possible to lose 15kgs in 40days with dieting and exercise?

Losing 30.3 kg in 40: days does not sound wise, practical or healthy. You didn't list your current weight, and it says you're vomiting blood, and in that case, you could lose a lot of weight very quickly, but not safely. See your PCP or doctor. Your medical hx warrants close medical monitoring. Your life is precious.Make sure you are not anemic, and treat the underlying cause quickly. ASAP. No time to waste! Go now!

That's too quick.: 15kg would equal ~33 pounds, which is too much weight to lose in 40 days. We generally recommend no more than two pounds per week, which would make your weight loss attempt last ~17 weeks. Be patient, be healthy, and make your weight loss last.