Yes! The hammock itself is symmetrical in that is doesn't matter which asymmetrical angle I lay in it. L/R or R/L.
Although sometimes I'm curled up on my side with my head resting on the edge of the hammock looking out. Especially when my tarp is in porch mode, or not deployed, and I'm on a ridge with a nice view.
Then there was those hot summer days where my head was in the middle and each leg dangled off it's respective side. Gotta love an open hammock with a bug sock!