It's not impossible...but it's definitely going to require a plan. If you average about 2lbs a week every week (sounds not too hard, but it's tough!!!) then you can make your goal.
Cut 500 calories + Burn 500 with exercise = 1000 calorie per day deficit...7000 a week and 7000=2lb
Maybe change your goal around a bit (different weight, different time frame) and see what fits your life best