Can I ever get home insurance again if a previous one has been cancelled?

About 1 yr ago I cancelled my DD for my home insurance to cut costs. My bank then said as I never told them directly they have refused my insurance policy and that I would find it difficult to get another policy. I am now looking to start another home insurance policy but they all ask the question if I have been refused before? What does this mean? As it is obviously important to have it as you never know what will happen.

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