HTML Drop down list

Hi guys, i have a problem that i hope i can receive some answers or solutions here.

What i can do: A dropdown list on a particular page

What i cannot do: A dropdown list when you select any value, a calender pops up.

For example:
The title is : Register a Booth!
Dropdown list will list all the months in a year
User selects November.

A calender of November appears and list all date from the 1st to the 30th.
On some day such as the 3rd, 15th, 27th they are events and thus stated on the calender.
User can click on the date such as the 27th and it will re-direct them to my registration page.
The drop-downlist in my REGISTRATION page should automatically be set to the date they selected.

The registration page [ already done] consists of
Name
Email
Contact Number
Registering for Booth [Drop-down list, listing all the days]

Is there anyway this is possible using just HTML?