Currently, it is not possible to export a Menu or Menu Items. There is however a workaround to get this information.
You can create a fake Booking with one of each Menu Item you would like to export.
You are then able to pull a Report as a CSV with this information. This can be done by following these steps.
Create a fake Booking (name it something obvious, no need to set a date)
Click on the Line Items Sub-Tab within the Booking Details Page
Click +Add Multiple Items
Add one of each Item you want to export
Adjust the columns to choose the information you would like to export
Choose Export As -> CSV
Be sure to Delete or Archive the Booking afterwards so it doesn't affect your reports