Yes you can freeze zucchini to make it last longer.
To freeze zucchini you should chop up the Zucchini first and then blanch the Zucchini and then freeze it.
You can freeze zucchini without blanching the zucchini first but it's always best to blanch the zucchini first before freezing it to prevent it from becoming soggy and mushy.
To blanch the zucchini you take the zucchini and give the zucchini a quick dunk in boiling water.
What blanching the zucchini does is it deactivates the enzymes in the zucchini that would otherwise cause the zucchini to become discolored and mushy in the freezer.
That's why other vegetables that are frozen such as French Fries are blanched before they are frozen.
When you buy frozen french fries those frozen french fries are blanched before they are frozen so that they do not become mushy.
So as long as you cut up the zucchini and blanch it first it will be good in the freezer for around 6 months.