Can you loose 40lbs in 6 months?(BMI if 30)

I have a BMI of 30 and need to loose 40lbs to be considered healthy weight(I’m 5’1). I used to be 110lbs and gained weight once I got in birth control, now I’m 163lbs. I used to be tiny! My goal is to loose at least 20lbs in 6 months but if I work at it hard enough could I loose 40lbs?

Last spring I did loose 10lbs in 1.5 months for my wedding by cutting out all carbs and counting calories (no exercise) but gained it all back so this time I am working out 3-4 times a week and cutting out carbs but not starving myself because I want it to stick! Also I am no longer on birth control because we were ttc but most likely won’t get pregnant for at least 9 months due to the depo shot so we are no longer “trying” so I can focus in loosing weight so I look cute when I do get pregnant ☺️