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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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You can easily disable dates, now dates that are not included in the list of disabled ones will automatically be enabled. No, there's no option to automatically disable all of them and let you choose to which one will be enabled. That's actually the opposite, and I believe that will somehow confuse some users on how the "Limit Dates" work.
Have you check this guide on how to use the "Limit Dates" option: https://www.jotform.com/help/337-How-to-Use-The-Limit-Dates-Option. That feature is actually flexible and gives you a lot of option to choose what dates, days and date ranges to disable, leaving automatically other dates enabled.
If you can provide us more details of what you would like to accomplish, that will help us better assist you and come up with a possible solution.