HuskyPup - 3:04 pm on Mar 22, 2013 (gmt 0)
You could but what's the point? Google has no problem with multiple websites working within the same niche so long as they are inherently different.
I have precisely this situation with my corporate B&M sites operating within the same global industry. There is an inevitable overlap of raw/manufactured widgets since global importers and exporters compete either on a global basis or distinctly from each other since they have local project deliveries to be made.
This is one of the reasons I have always had direct crosslinks to my main B&M sites in the navigation on all sites so that users can move sideways easily when they realise that specific site may not satisfy their needs yet another one may.
It's a difficult balancing act however I feel I've got it about right and those sites are definitely not penalised by Google.