I think it will be quite tough, and I think even more so for you than for someone with more weight to lose (like me, who needs to lose 6stone+) because anecdotally, weightloss is harder the closer you are to goal.
However, I don't think its impossible. If you stick to the plan, exercise and drink lots of water there may be a chance you can do it. I think you should try - because even if you do fall short of a the 2stone target, you will probably still have lost a considerable amount.
Best of luck!