Welcome to PhotoStructure, @kvncsy!
Yes, it’s designed for this: the UI is web-based, and uses a bunch of new browser features (like srcset) to make browsing fast even when served from limited upstream-bandwidth links.
Keep in mind that you host your own library, so it’s a bit “DIY”: how you set this up is all up to you. The basic options, though, are:
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Setting up a virtual private server and running PhotoStructure from there, or
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Running PhotoStructure from a computer at home, and setting up a secure tunnel to cloudflare for external access
This is discussed more in detail here: