No you have to start collecting them daily or you lose those coupons for good. If you wanted to do that you'd better off just waiting till Wednesday to do this instead of buying it right now. Otherwise they are going to disappear.

The Naruto Froggy event works by depositing ingots to claim rewards. The deposit will get you an immediate reward as well as a daily rebate. The daily rebate must be claimed daily. If you do not claim the daily reward before the day is up, the daily reward for that day will expire. Just like what was said above, you can choose to deposit anytime within the event period (Dec 27 to Jan 2 - based on your server time), before this week's event cycle ends and you will still be able to collect the daily rebate for the next 6 days.