There is no room service at OKW, but if the Disney Florist does the strawberries, they could deliver to the front desk. You'd have to pick them up there.
The strawberries come from the resort kitchens, which is why they're usually not available at resorts that don't have room service. I don't think the florist usually carries freshly made food items like that - they've got fruit and packaged snacks, like other FTD/Teleflora outlets.
The good news is, Goofy's Candy Co. at DTD has chocolate covered strawberries, and it's just a short and very pleasant boat ride from OKW.
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