It looks like your tank is rimless, so this certainly is reason for possible concern as the bottom glass seams are all that is supporting the tank in between the vertical sides/dividers of the stand.
Rimmed tanks would have less concern with this issue.
+1 Is this stand built for supporting an aquarium? It looks like it could be, but it looks much less trustworthy for such an application than I would personally like.
Can you contact the manufacturer with this issue? This stand looks under-designed for a rimless aquarium in my opinion, though it may be fine and just have a lower factor of safety than I would like.
A simple fix would be to add boards or plywood across the top of the stand to make a thicker top surface. It looks like the stand sides and dividers provide enough support to hold the tank weight, but the gaps in between do not support the tank bottom glass.
Edit: I just realized this is not actually simple since the aquarium is already filled, unless it is simple to drain and re-add the water and occupants.