Board Thread:Question and Answer/@comment-27892764-20160317151316/@comment-27783730-20160317211342

No there is not, however, you can only view 100 items total at once. E.g. if you have 100 Ns and an R as 101th item in present box, it won't display until you get rid of a N.

Also items time out after 90 days, so you need to clear presents regularly not to lose them, that's the only way you can lose items in presents at all. The game does give you a warning in the last 3 days when you've got expiring items, so you can just list from old to new and claim them.