not by default I think... there would be workarounds, e.g you could...
add links to Lara's menus - you could upload these files anywhere, you wouldn't particularly need to use WHMCS to upload them.
create a widget to output these links - if you're going to use downloads for this, then that's a query to the tbldownloads database table.
the Staff Noticeboard addon (already within WHMCS) would be an option, but it doesn't natively support clickable links - it has it's own homepage widget, but it's encrypted, so to make it's links clickable would probably require a custom widget.
(worth noting that the staff noticeboard addon is supposedly being deprecated/removed, but it's still currently in the v7.9 beta).
various admin hook points would be available depending on how/where you wanted to show these links.
there would be various staff addons available in Marketplace, but i'm not sure if any would use downloads... check them out for yourself though.
downloads aren't really supposed to be used by admins in this way - they're for clients/products... so if you use this, I wouldn't particularly add anything that you wouldn't want a client to see!