No. Virtually all goods that move by sea (save for commodities like oil) move in containers, which require container ships and associated infrastructure (deep water ports, etc.).
I think you're vastly underestimating the volume of cargo that moves and the world of infrastructure that has been put in place to move it.
Also, to the extent that small vessels are used in the "transportation" business, it's for contraband, not Beanie Babies. Look up the street value of 100 kilos (~220 pounds) of cocaine in major US and European cities and compare it to the value of a 40 foot container full of nuts and bolts.