Yeah, I'm sure t can be done but it's a lot easier to increase your strength when your weight increases. I used to run approx 30 miles a week, average and dropped down to 158, as trim as I could get, and my bench press and squat went down a lot. I was in great physical shape, just not as strong.+1. I played football up through high school, and have lifted weights ever since. The strength and weight feed off each other for me. Lift more= stronger =hungrier=heavier. Repeat. If I run I lose weight but strength too.