Cancel current insurance but then go with a new one on the same company?

Hi peeps,

I'm a new driving of 3 months and got insurance from Admiral (telematic), I've just received their first email on scoring and I scored low based on their black box scoring. I also got told if I got 3 low point consecutively which got me really worried.

My question is whether I can just cancel the current insurance and apply for another one from admiral.(sticking with them because of low price).

Also, I don't see any where that if I actively cancel the insurance, when asking for a new quote, they always ask if the insurance company cancelled one me, so I'm guessing if I'm the one who cancelling it, I can tick no while quoting?

Sorry for the ramble and looking forward to any responses