I can't help you with wordpress and I don't know if / how their server software will adapt from desktop to mobile. I have primarily worked with my own server (so no issues with doing what I want to the CSS or HTML) or WIX (where you can switch the adaptive process on or off as a toggle on your control panel).
If you are using a paid version of wordpress then check with the help desk about the issue for moblies.
Depending on their server software (as I said, I don't do wordpress) you may be able to, if you can change the CSS (Cascading Style Sheets), add the functionality you are looking for. That is what CSS is for.
What is CSS?
CSS is the language for describing the presentation of Web pages, including colors, layout, and fonts. It allows one to adapt the presentation to different types of devices, such as large screens, small screens, or printers. CSS is independent of HTML and can be used with any XML-based markup language. The separation of HTML from CSS makes it easier to maintain sites, share style sheets across pages, and tailor pages to different environments. This is referred to as the separation of structure (or: content) from presentation.
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