Can a shower door be hung on glass tiles?
What are the options for edging glass tiles?
Don't know the answer to #1.
For #2, we used the Schulter metal edging in our kitchen. At the time, it wasn't available in ORB finish, so I painted and varathaned it before we installed it. After several years, it looks great.
We used Schluter brushed SS edging on our glass tile mosaic edges.
Yes, you can hang a glass door on glass tiles. You must use the right tools. Here is an earlier thread.
Here is a link that might be useful: Glass door on glass tiles
Yes, you can hang a frameless door on glass tile.
We used a glass curved pencil-liner trim piece to edge the glass tile.