I want my opnsense box work the same way as it does as an openVPN client. Can I accomplish this, configuring the opnsense as an Ipsec client?
Same here, no information in docs. Every doc assumes the box acts as a server.
There's more. When I try to create site-to-site tunnel, Authentication method options are Mutual PSK/Key/RSA, but my VPN provider is using IKEv2 EAP with username and password.
Note: It does support road warrior setups which would be the closest thing to the server/client style your looking for. To answer your other question, yes you can send traffic over IPSEC.