Technically no.
If you were to run an Out and Back the Height would be exactly the same as loss as everything you run up, you have to run down.
If you were to a point to point race then potentially the Height Gain and Height Loss can be totally different, an example is the Edinburgh Marathon in Scotland where the run is down hill alll the way.
If you were to run in a loop or multi-lap race then you will always end up at the same height above sea level so height gain/loss will be the same but you will have to be mindful that the gradient could be a short sharp gain with a long shallow loss.
HTH
Jerry A runners blog-updated daily
Similar to what Jerry said... some races lump it all together. Here's an example:
Hardrock 100
Elevation gain: 33,000'
Elevation gain/loss: 66,000'
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Thanks everyone for the input. I was trying to compare two races to gauge which might be harder.
--- Carl