Absolutely YOU CAN DO THIS! It is so incredibly exciting and it absolutely works.
Vegas is spot on. The beautiful thing about calorie counting is that is really all about you. You are very in control and it relies on no external sources--gym memberships, personal trainers, meal delivery systems, etc. What you learn through calorie counting will serve you the rest of your life if you allow it to.
Welcome to the club.

Also, there are some of us that regularly calorie cycle and notice scale results when we do. Listen to your body's cues. There are some days you will want to eat more, and some less. As long as your average is decent, you are in awesome shape. Good luck to you.