JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
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If you want your forms to be available only on certain time frame, then you may add a Time field and set current time as default, then you may add some conditions to show or hide the fields if the current time if the one you want the form to be available.
Then you should set the condition similar to this:
Here is also a guide that will help to show or hide fields based on other fields input: How-to-Show-or-Hide-Fields-Base-on-User-s-Answer
However, please provide us more details about what you're looking for, we will be glad to help.