It requires the right circumstances (gear levels, modding, team comp) but it's possible.
You need to 1) survive JKA's attack after Nest has taken a turn and 2) resist JKA's healing immunity.
Farmboy Luke gives +50% tenacity but isn't a real option anymore as most people are running around with a R7 JKA and you need Nest's protection to survive the big hits from JKA, so Qi'ra lead is the way to go.
Now it's a potency vs tenacity thing and it's gonna come down to modding. If Nest is correctly modded she's gonna have close to 170% tenacity (195% with HY's Masters Training). A JKA that isn't modded for potency has 56% base potency and gets +10% from 3PO so that lets him sit at 66% potency.
195 - 66 = 129% chance to resist JKA's healing immunity --> we are safe
However if that JKA has stacked up some potency (especially a sliced potency cross) things can look different. Just assuming he has that potency cross, a potency set and maybe a total of 5% potency from secondaries that would be +50% potency from modding.
195 - 116 = 79% chance to resist JKA's healing immunity --> so about 1/5 of the time he's gonna land that healing immunity which will stop Nests health steal and Nest is gonna be taken down eventually