Some IP routers/interfaces also can send date/time from an NTP server to the bus, but yours cannot do this, as it’s primarily not an IP router but an object server that doubles as an IP router. And afaik the software of this device doesn’t offer much beyond that.
In ETS open a diagnostics window and select the group monitor. There you can send values to your group addresses to simulate time.
Home Assistant may also be able to send date/time to the bus, but I think you need to create some logic to do so, as HA is not a real KNX supervisor (as you call it), but some multifunctinal software that can also connect to KNX.
Homeserver is a real KNX supervisor, as it’s made just for this. It can send date/time to the bus by default.