VM VPN private from host

If I setup a virtual machine to use NAT networking (instead of shared/bridged) and I also use a VPN (ie- expressVPN) can the host OS view the network traffic going out my home network?

I want to be sure not even the DNS lookups are visible to the host. 

Basically, I'm installing a VM on my work laptop and I want to make sure nothing I visit using a browser or torrenting is visible to the Host OS. In particular I want to be sure the anti-virus Sophos can't log my network activity in the VM.

Thanks in advance!