Of course. One should take a few things into account however:
If you do reservations, you might need to know the hour (e.g. guest cancels reservation and needs to pay a fee if <24h, or police needs to check an alibi...).
On the technical side, you might want to know the exact time to detect accidental double reservations.
Some coders might have written a timestamp or full ISO date to the database
(possibly because it was easier to do than just the date part) and your current data has already millisecond precision.
My point: there are probably reasons to store a timestamp or full ISO date string, but you might only need the date part for certain queries.
Managing redundant date fields on application level can be problematic however.
Another interesting topic are time zones. ISO dates encode timezone offsets, but only a date + timezone offset, without the time part, may not be valid
(it's not in Firefox's JavaScript implementation for instance, there must be at least an hour).
One should probably use UTC server time and omit +00:00 / Z in the date string to avoid this altogether.