Probably not, but it is very easy to cut yourself than way. It is safer to rinse the blade under running water, be careful it is easy to ding the edge on the faucet. A Goose neck faucet is a great investment to prevent that. Or what I do is, strop the razor on my other hand, all the cream and hair come off, then rinse my hand after 2-3 wipes.
A micro fiber cloth is great for cleanup and drying the razor and your hand after rinsing.