This probably will not work since a lot of VPNs do not permit split-tunneling where you can have access to other networks while connected to the private VPN. You will need to discuss your requirements with your VPN providers and see if they can support the configuration you are wanting. If you think about it, there’s risks to both companies if you can connect to both networks at the same time. Your computer could then be a conduit between networks. Your clients need to understand and agree to support this configuration.
Yes definitely it will be supported but for that u ll have to proper licences nd proper software iinstalled on ur desk top nd ur NIC would be same vendor .