hi Radox yes, you can lose the weight. You just need the right tools to help you develop a different mindset towards food and exercise.
Support from a health professional can really help at the start. I went into a treatment program for alcohol addiction earlier this year and I attended group therapy classes and everything (some inspiring some totally boring). Even though I was there for the alcohol, it also helped me change my mindset to want to take care of myself.
One thing I've learned is that you have to love yourself (or at least accept who you are right now) enough to want to take care of yourself otherwise you won't be able to sustain a complete change of lifestyle. So many times in the past I have lost weight but it was driven by self-hatred so it never lasted long and i piled the weight on more than when I started.
Consistency and gradual tiny tiny changes to your lifestyle (maybe cut out one glass of soft drink a week) will help to retrain your mind to what is a 'normal' amount of junk food. I've been there. Nine months ago my diet was 99% rubbish (the 1% was mashed potato). I lived off frozen ready meals, takeaways, alcohol and soft drinks. I thought I would never be able to eat normally again and would just get bigger and bigger and it would never end. It was so horrible to be stuck thinking like that.
Cutting out the crap slowly helped me a lot and now I have a much more balanced diet but without the angst of feeling deprived because the changes were so slow that my brain and body could adjust without bingeing later.
Regarding exercise, I know it can be really scary and distressing when you haven't done it for a while but you just have to be brave and try. One 10 minute walk will turn into 15 then 20 then 30 mins.
If you can, try as many different classes (most are discounted or free for new people) because once you find an exercise you love it makes losing weight fun. I have to admit it took three months of actively hating and dreading class to start liking exercise and now I go as much as I can if I have the time. Start with one class a week then build up as you go.
Sorry for going on and on but I remember what it's like to feel stuck and like you are trapped in your body. I have also called in sick for the same reasons.