Hello Alessandro.

Thank you for your purchase.

Sure, you just need to add "Column Visibility" in table tools (above the table in back end):

After you do this, everyone visiting your site will be able to see and hide columns based on their choice.

Hello again Alessandro.

wpDataTables is a WYSIWYG (What You See Is What You Get) concept based plugin. This means that the table should look the same both in back-end and in front-end. 

Since you have some columns that you'd wish to hide, I can help you with some custom CSS. To hide certain columns from "Column visibility" drop-down, you can use something like this:

<style>
body > div.dt-button-collection > a:nth-child(1) {
display: none !important;
}
body > div.dt-button-collection > a:nth-child(3) {
display: none !important;
}
</style>
[wpdatatable id=59]

This is entered in the Classic Editor (Gutenberg editor), and it hides the two columns. It is a simple selector, but if you're having issues finding the correct ones, please let me know which columns you want to hide from front-end users, and share the page where that table is, so I can find the correct selectors for you.