Can I drop motorcycle insurance for the winter then pick it up in the spring?

I’m 17 and am looking for a motorcycle. My mom called our insurance company (Nationwide) and had a quote prepared and they said it would be an extra a month. Seeing as how it gets cold here in Ohio i don’t really want to ride a bike in the wintertime. Would it be possible to drop the motorcycle part of the insurance during the wintertime and then pick it up in the springtime when I start riding again? I’ll also be turning 18 in February so I think the rates would go down.