Sometimes yes, but the outcome depends on timing and circumstances. Cancellation rights are not just a button to press; they usually depend on whether travel has started, whether a claim or incident has already occurred, and whether the request falls inside the cooling-off period or another permitted cancellation window.
The first thing to do is identify the stage you are at. A request made before travel, with no claim and no incident likely to lead to a claim, is very different from a request made after the trip has started or after support has already been used.
If you want a clean answer, explain the dates clearly: when the policy was issued, whether travel has started, and whether anything has already happened that could become a claim.