Short answer, yes!
Every trip has a start and end date. These dates can be in the past, present or future! So, when creating a past trip, simply select the correct trip dates and you are all set.
When publishing footprint posts inside this trip, make sure to also select the correct dates.
NOTE: You can use the date and location of the photos you're adding to footprints. Learn more
If this is a bit too much work for you, you can pimp your statistics and profile map without creating trips or footprints. Learn more