This can be done but require several steps to accomplish. You will need to hire a developer to do so.
Volunteering to assist you! Likes and Accept as Solution is highly appreciated.✌ ☕ Coffee fuels my dedication. If helpful, a small Coffee Tip would be greatly appreciated. Need EXPERIENCED Shopify developer without breaking the bank? Hire us at Made4Uo.com for quick replies. Stay in control and maintain your security by avoiding unnecessary store access!
This could get a little bit complicated, but can be done. You'll basically want to add a container to the menu section, and inside there, add an image picker that can have images inside. This will all be done with code in your liquid file.
If you need extra help setting this up, let me know.