Can a avg person practice badminton and boxing for fitness?

i have been playing badminton for some time under coaching and am 19..since i want to lose some extra fat i came across boxing workout routine..which indeed gave better results(i just did some running,jumping ropes,push ups,pull-ups.crunches)...now i want to punch the bag after some shadowboxing..but can i attend badminton for 5 days a week n for the love of sport practice boxing ???