Can the door activity log time change on my phone?

The event log (opening/closing) and activations are saved in a universal format technically called UTC (as all this type of data is typically stored on a computer), and the app displays them based on your phone's GMT time setting (either automatically set by mobile/telephone networks or manually selected).

But if you manually adjust minutes or hours other than GMT, those changes will not be reflected in the App.

Example: You have the App in GMT+1 (Peninsular Spain), and I have GMT+0 (Canary Islands),

So for you, it's now 3:00 PM (In this example) and for me it's 2:00 PM.

If you open with HOMYHUB, right now (In this example) the App will show you that the door has opened at 3:00 p.m. and mine at 2:00 p.m.

On the other hand, if you add GMT to that, and manually advance the clock on your mobile, say +15 min, you would therefore have GMT +1, +15 Min that you added manually.

Likewise, the app will show you that it opened at 3:00 p.m., even though your time is 3:15 p.m., since the mobile system governs the apps based on the original GMT.