The problem with that is that teaming or bonding does not increase bandwidth between two stations.
Teaming can increase the overall bandwidth available to a host and - if LACP or the like is supported - on a switch as well, but the consumers of that bandwidth must be multiple stations/hosts/IPs.
The only way to increase bandwidth between host A and host B using multiple network connections is to... use multiple network connections.
You would have to assign each NIC on each end a separate (virtual) IP and route traffic appropriately.
PS. vmware bonding primarily offers physical NIC failover, and connectivity for multiple virtual port groups to the outside in a flexible manner.
Increasing point-to-point bandwidth is not what it does either.
EDITed just in case this wasn't clear: no, connecting 2 systems with multiple NICs in each does NOT increase the bandwidth between them.