Does insurance cover the set of windows on the side of your house if one gets broken?
If your window was broken due to a covered peril such as Fire,
Wind, Hail, Lightning etc then it is certainly covered subject to
your deductible.
The occasional broken window is a normal and expected part of
home ownership. If someone just accidentally broke the window while
moving something or by opening and closing the window then it would
not be covered unless you have coverage for glass breakage on your
policy.
You can refer to your home insurance policy to see if you have
glass coverage.
Bear in mind that most window glass repair is very cheap and
usually far less expensive than your deductible would be for a home
insurance claim.