Can I beat Enfys Nest in GB II with this Squad?

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You need Greedo (or Zam) instead of IG-88 for an extra chance at thermals. Your Dengar also needs gear, because the couple of times I've done it, Bossk and Dengar were the last standing. She can do some damage if she gets her AoE.

Something else to consider: My Dengar has about 40 more speed than yours (which is still not fast by any means). But more speed=more thermals. Dengar's the one who really loads them up.

it's possible, but very variable. in my opinion, the Nest battle is the single most frustrating battle in the game, because it's possible but very RNG dependent. It took me 20 attempts on average for each success with this team: https://swgoh.gg/squads/106201/

You need it to be over quickly. The longer the battle drags on, the stronger Nest gets.

I would say no. Not even with RNG. Without Embo your only chance of taking down Nest are Thermal detonators.
In theory, Dengar should be enough, as Greedo's input of one extra detonator does not really turn the tides. If anything, he'll get your team down faster if he goes on a multi-attack spree and makes Nest counter a taunting Bossk to oblivion. Zam is also bad, as her basic makes thermals explode. If Nest has protection up, your thermals go to waste. The whole point is letting Nest take turn while loading her up with thermals that explode when her bonus protection resets.
Returning to the problem with your team, at the current gear level your Dengar is extremely squishy, and it's not likeltly that he'll survive long enough to place enough detonators to kill Nest. I have my whole team at G12 (zzBossk, Boba, Greedo, Dengar, Cad) and I can only 1 star the GB event. Their modding is also decent, most of my hunters having close to or over 100 extra speed, from potency sets (CD for Boba, tenacity for Bossk). You need that gear.

Thanks all for your input! Maybe next time I'll have the gear :)

I've smashed my face against her with a similar squad (greedo instead of cad) countless times and the absolute best I've ever been able to do is to get her to half health. I just don't think it's possible without either Embo or massive detonator spam. She just hits too hard.

I beat it about 25% of the time with this squad: http://swgoh.gg/squads/140833/.

No Embo required. I can tell within the first turn or two of the Nest battle if I'll be able to beat it that time. RNG dependent, but definitely doable and not requiring dozens of attempts.

I wouldn't get too excited about Embo. Neither his protection-powered hat nor his elusive strikes have done the trick for me so far. (g12+2 zEmbo w/ 42k protection)

Granted I haven't made 20 attempts because I have fleet 5-D 3*'d and this annoying quest isn't worth the frustration to me.

I believe a Zam-led TD team is the way to go but I don't have her powered up yet.

Ironically Wampa is a breeze for my squad. Fun too. I could do those all day long and not just for Frozen Foe (though that would be nice). :)

Greedo's stun requires a zeta, includes target TM reduction, which is the last thing you want, and only actually stuns if their TM hits 0.

Dengar's stun comes with a chance to inflict slow, which is again not what you want, and it only stuns if the target is over 50% TM.

Bossk's stun comes with a mass assist which feeds Enfys' bonus protection, which is not what you want.

Last but not least, Cad's stun also comes with TM reduction.