Usually not for the thing most people want covered, and the reason is worth understanding before you make a claim that gets denied.
The General Rule
Standard homeowners policies in the US typically cover water damage that is sudden and accidental and exclude water that arrives gradually or from the ground.
So a supply pipe that bursts and floods the basement is usually a covered peril. Groundwater rising through the cove joint each spring is usually not — that is classed as seepage or as flood, and both are commonly excluded from the base policy.
That distinction catches people out, because from where you are standing both look identical: water on the floor.
Where Riders Come In
Two endorsements are commonly available and worth asking your agent about.
Sump pump failure and water backup cover typically pays for damage when a pump fails or a sewer or drain backs up. It is usually inexpensive and it is the one most directly relevant to a Michigan basement.
Flood insurance is separate again, usually through the NFIP or a private equivalent, and covers surface water from outside.
What Is Never Covered
Repairing the cause. No policy pays to install drainage, fix grading, seal a wall or replace a failed pump as a maintenance item. Insurance addresses damage from an event; it does not fund the repair that stops the event recurring.
That is worth knowing when you are weighing an $8,000–$15,000 interior drainage job against another year of hoping. The drainage will not be reimbursed.
Practical Advice
Photograph everything before you clean up, and keep receipts. Read your declarations page rather than relying on memory — the endorsements are listed there by name. And ask your agent the specific question: “if groundwater comes through the floor joint, is that covered?” A vague answer is an answer.
This is general information about how policies commonly work, not advice on your particular policy. Your insurer is the authority on what you are covered for.