Are you talking about a server, or user workstation here (and how are your wires getting pulled?).
NIC teaming allows multiple ports from (typically) a server to go into different ports on a switch, or in some instances, into diverse switches. Because they are teamed, they are configured as a unit, and will end up with the same IP address. Because of this, one will probably end up as a hot-standby to the other - although I don't know if switchover in the case of a cable being yanked, is "instantaneous".
"teaming" is more of a server-level term. Cisco refers to this as Link-aggregation, or Ether-channels. These are typically trunk links between network infrastructure devices, like switch to switch...
One thing you could do, and that I've seen done multiple times, is either have 2 Wired NICs running to the switch, or have one wired and one wireless connection. Both of those still have about a 5-10 sec failover, but that typically doesn't drop applications or interrupt data transfers (which expect a bit of delay)