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I don’t now what you mean by “including the form”.
However: it depends in your post/page wether you can completely show/hide it.
If you are using Gutenberg: no, it is not possible, since Timed Content is a shortcode and you can not embed Gutenberg blocks inside a shortcode but only show hide parts with a single Gutenberg block.
If you are using “classic” content (Classic editor or just plain HTML): yes, then you can just include the whole page/post content inside a Timed Content Shortcode like this:
[timed-content-rule id="..."]
... your page/post content here ...
[/timed-content-rule]
