Of course you can lie to the doctor, if you so wish. Some of us would call it "being economical with the truth". If asked, "how are you getting on with the meds?' the answer is , "fine thank you, doctor". After all an unopened pill bottle doesn't cause any problems.
However, perhaps you should find out what your latest HbA1c is before making any big decisions, also, you are now established on a diet (low carb?) and you should be able to keep to this without constant testing, just avoid carbs.
Sally