No, eggs, meat and other ingredients obtained after each battle are automatically collected in the food box. This food box doesn't need to be carried with you all the time. It can be collected for tasks in your spare time. For example, when there is no paired activity, the task can be cleared, and the food box can be discarded at any time, which will not affect the amount of ingredients obtained, and nothing is needed to collect again. I have done the tasks inside, and some of the tasks are rewarded quite well.