That would be most impressive if he did. To hydroplane with the high-pressure bike tires of the OP would require that he be going about 100 mph.

The type of finish on the wood makes a big difference. We have a few wood bridges where I live and they've never been a problem when crossed with reasonable care. But the surface of the wood is left quite rough on these. OTOH, I crossed a wood bridge where my daughter lives and promptly went sliding despite holding a straight line and going slow. That bridge had a much smoother finish and a slight slimy algae coating on top that I didn't notice until I was on the ground and could see and feel it close up. It hadn't even been raining - just the early morning dew made it as slick as ice.