I have created a search bar using PHP that pulls from my database by keywords typed in the search bar and displays links and descriptions of URLs' associated with the keywords.
Is there a way for robots to randomly type keywords in my search bar on my website to list those items in major search engines?

I'm sure that they can but I'm also pretty sure that they won't.

I'm looking to know how it can happen.

So you are trying to get googlebot to index random search queries?

yes

Won't happen. Search engines won't fill out your form.

I would suggest a tag cloud that search engines can index. This would work in the same manner as what you are wanting.

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