You could do it with Advanced Actions (but it does get a little messy).
Place a transparent button over each menu item. Have each button pause near the start of each slide.
Create a standard action as below (you will also need to create a variable for each menu item - mine is called Zoom1 in the example):
This will trigger the zoom (you will probably want zoom size to be 100% for the initial size, then whatever your final size needs to be).
Create an advanced action like the one below:
You can have an action for each menu item/button in the one advanced action using the tabs under the Name field. What you're doing is saying if the button for an item has been pressed, jump to the specified slide for that item. In the slide properties, set the advanced action to run on the slide exit.
You will need to play around with the size and timings to allow the zoom to reach the end point at, or just before, the end of the slide, otherwise it jumps to the new slide as it's zooming.
There may be easier ways to do it that others here may suggest, but that's my intial idea - hope it helps.