Yes, absolutely. I know some of the great guys/gals on this site may endorse a much more gradual/lifestyle-change approach, but I tend to be of the belief that fat loss is best done as quickly as possible without losing muscle. I.e. best to keep momentum going to avoid adaptation. When cutting, if weight freezes, or goes back up at any point, I’ll either cut carbs and/or add cardio depending on how severe the stall is. I would especially endorse a more aggressive approach in your current situation. Just getting to the gym consistently and changing the diet will do wonders for you, and I wholeheartedly believe you can lose fat and gain muscle at the same time if you just stick with it.
If you’re looking for more specifics, I kind of go into more detail in this thread from the summer breaking down a week by week tracking of my cut from last spring: Full Body or Circuit?