Volume calculation of open 3D facial surface models in Slicer

Yes, sure you can compute volumes from such scans. When they are imported into a segmentation in Slicer they are automatically converted into a solid object. Depending on the size and orientation of the holes, this default conversion may work well. Otherwise you may need to implement shrinkwrapping or use other mesh hole filling method (they are very simple if you are not particularly concerned about filling the holes very nicely, smoothly).

If you want to measure volume changes between two scans then a good approach is to register them to each other and then subtract the same base segment from them.

We have implemented a complete workflow for volumetric fat resorption monitoring after breast lipofilling (see some more information and links in this post: STL models - Alignment and Volume measurement - #16 by lassoan).