No, no it doesn't. Visio is a much better product with decent templates, preferences that stick, and shape arranging and editing that lets you get a lot done. Scaling also works well in Visio and not so well in OmniGraffle.
I have used both a lot (Visio when it came on the sample disc before it was a Microsoft product, OmniGraffle Pro since 1.0), and have finally given up on the idea that OmniGraffle will be as good as Visio. I really wish Microsoft would port it or someone else really look at the fundamentals of what Visio is capable of.
A quick look makes it look like a simple version of Visio, but this is just from looking at the web page.
For example, does it have diagram validation? This way your governance or architecture team can define the rules and ensure the diagrams follow them. Or can you set a schedule for it to sync to data sources (actually I couldn't even find how to sync to a data source at all)? And this is probably in there, but they make no mention of it, but can you host your diagram as a hyperlinked webpage?