Yes—though it helps to define “stay dry.” No ordinary outdoor cushion will stay perfectly dry through a long, heavy downpour unless it is fully waterproof and sealed, or you bring it inside. What urban furniture cushions are specifically designed to do is shed light rain, resist dampness, drain water quickly, and dry fast after a shower.
For city balconies, rooftop decks, sidewalk cafés, and parklet benches, look for cushions with water-repellent covers, sealed seams or minimal seams, and quick-dry foam rather than standard open-cell foam that soaks up water. A breathable, mesh-style underside or drainage grommets helps trapped water escape, while solution-dyed acrylic or olefin fabrics resist fading, mildew, and urban grime. Removable, zippered covers are a practical bonus because you can wash and air-dry them.
The key is to choose “quick-dry” and “water-resistant” over vague “outdoor” labels, and to check whether the foam itself is designed for wet conditions. If your furniture sits exposed all day, consider a waterproof storage box or a fitted cover for heavy storms; that is still the most reliable way to keep cushions dry. But for sudden city showers, morning dew, and humid summers, yes—there are cushions made to stay drier and recover much faster than ordinary patio cushions.