Yes you can store drinks, ice and ice cream in a refrigerated trailer. However, you could not store all three of them in the same refrigerated trailer. This is due to the differences in temperature required.
The drinks need to be kept chilled whereas the ice and ice cream need to be kept frozen. This means that they can not be kept in the same unit. Otherwise your drinks will freeze or your ice and ice cream will melt.
You could hire two refrigerated trailers, one as a fridge and one as a freezer. If you have lots of drinks and less ice and ice cream you could have a fridge trailer for all the drinks and a smaller, maybe chest freezer for the ice and ice cream.