No, a 5V source is not suitable for this.
Battery management systems will refuse to charge cells that are under-voltage because it generally isn't safe to do that. You can, however, manually jump-charge them.
First measure the voltage across the cell, to verify that it is low. Then use a current-limited bench power supply, set the current limit to around 250mA and the voltage to whatever the cell is currently at plus 200mV. Connect it, and watch the voltage slowly come up. As the cell voltage climbs, the current draw from the supply will drop. Bump the voltage by another 100mV and keep going. It takes some patience, but you'll eventually get the cell to creep back up to a minimum level of charge and the BMS should then accept it.
If you try to apply a large change in voltage to the cell without a current limiter, a huge current will flow through the battery and either blow the internal fuse (if you're lucky and it has one) or set it on fire.
While you could just dial in 3V and a 250mA limit on a proper bench supply, doing the whole jump-start in one run, it's safer to manually set the voltage in small increasing steps in case your bench supply's current limiting circuit has a delayed reaction during load transients.
It goes without saying that lithium battery fires are serious. If you slip you could easily short the terminals and start a fire. The jump starting process could also start a fire. Make sure you've got a powder type fire extinguisher to hand, and ideally a sand bucket.