No, it will not. When you pay for 1 month or 1 year, we add 1 Month or 1 Year of that plan to your account respectively. 

If you are on a 1 month Pro subscription, for example, and you cancel it on the 3rd day of your plan, the automated re-billing will be cancelled so your plan will not renew, but your pro plan will last the full remaining 27 days. 

Same goes for the annual subscription, if you cancel 2 months into your plan, you will still have the Pro plan for the remaining 10 months.