Welcome to Responsive Menu Pro Support. Hope you are doing great.
Yes, it is possible. If you don’t use the ‘Original menu to hide’ option in the ‘Initial setup’ tab. Then both theme menu and responsive menu will be visible.
But if you want to make the theme menu visible only for desktops then you can disable it on mobile devices using custom CSS.
I need the URL of your website so that I can give you the CSS code which applies on your theme menu. Because every theme uses different CSS selectors while designing.
Also, please make sure that you have enabled theme menu on your website.