Unfortunately not. i2p works only for your bitcoin core node not for LN. LN must communicate through ipv4, ipv6 or Tor. Even with ipv6 are very few using it.

My recommendation is to use a VPS + wireguard VPN tunnel to your home node and like that use the VPS public IP for your LN node. Is the best way.

If you run a public routing node, DO NOT run it with Tor. Tor with routing nodes is not a good combination. I will never connect to a Tor only public node.