Yes, you can.
Open an event you created, and there is a "Copy" button. Tap it and a new event creation screen opens with the copied content. Change the date to the one you want and save.
You can also touch and hold an event on the calendar to open a menu with "Move", "Copy", and "Delete". Use "Copy" to copy the event to another date, or "Move" to move it to another date.
For events you use often, registering them as templates is also quick. Touch and hold a date to open "Templates", register your frequently used events there, and from then on you can add an event just by tapping it.