Home Assistant can monitor some things via the UPnP/IGD integration [1]. If you're looking for something more advanced, you could look into SNMP Exporter [2] with a Prometheus + Grafana setup.
Another option is to set up a PiHole DNS server, which would both block ads for the local network, and give you DNS statistics on a per-device basis.
None of these can get to the level of granularity you can get with a pcap based tool like sniffnet, but they're a good start to network monitoring and should work with most home routers.
If you really want to go deep with your network monitoring, you could set up a more sophisticated using OPNSense/PFSense, but at that point I don't know what is and isn't possible as I have no experience with them.
[1] https://www.home-assistant.io/integrations/upnp/ [2] https://github.com/prometheus/snmp_exporter