No. A non-owner policy excludes vehicles that are regularly available to you, which includes a household vehicle you have keys to. The usual answer is being added as a driver to the policy on that vehicle instead.
More detail
The test is availability, not ownership or how often you actually drive. Keys, a parking spot outside, and permission add up to regular access whether you use the car twice a week or twice a month. This matters because the gap is invisible until a claim. A driver with a non-owner policy who has an at-fault accident in a household vehicle discovers that neither their policy nor, potentially, the owner policy responds the way they expected. The durable fix requires cooperation from whoever owns the vehicle: adding the flagged driver to that policy and filing the certificate against it. That raises the household premium, which is exactly why the conversation gets avoided, and exactly why it is better to have before a claim than after.