Yes, easily.
You feel like stepping out for the night, and look at your collection. You decide to wear
hat 73 tie 19
No problem.
There are two things that are needed to ask for an item:
The numbering scheme within one collection is independent of other collections. You can have hat number 13 and also have tie number 13, assuming that both exist.
Say (as before) that you have 500 hats. Can you ask for hat number 577?