it's certainly possible. i would change your training to doing more of an upper body/lowerbody/off/upper/lower split. that way you can hit each muscle group twice a week. and you can cut carbs back, not off but back, and still stay strong. i usualy have to cut a few pounds when i have a powerlifting meet comming up and as long as i keep protein up my strength doesn't drop off at all when i lower my carb intake.
post a full week of lifting (lifts, sets, reps, and cardio) and everything you ate in one day and more people will be able to give you more detailed/helpful responses.