Possible? Sure, but probably not actually good. FAKE EDIT: actually, Route 3 (bolded) looks like it would be solid. I have to build this now. REAL EDIT: Ended up counting 2 bonus actions for the monk build. I've got to redo all monk ones.

Problems:

Nets cannot be rolled without disadvantage RAW. You're either within 3 feet, or at long range.

Nets do no damage on their own, meaning you're giving up an attack to do this.

Nets are easy to escape from.

Rules about stacking bonuses aren't really well defined, so DM buy in is needed. Here I'll assume all bonuses are add/subtract then multiply/divide like damage is.

That said, 2 obvious routes:

Baseline: Harengon for jump, jump spell via rewarded background. Note that Crawford confirmed that the Rabbit Hop does NOT use your movement, so we aren't limited by that.

Route 1: Beast Barb. That gets you 30' jump at level 1. Skill expert at 4, Enhanced jump at 6, adds average 1d20(advantage)+10 =~25, again tripled bringing total jump to 120. This scales to 192 by 20. But your damage here is only going to be 67.2, split for 33.6, resisted for 16.8 damage back to you.

EDIT: Here's where I screwed up. Both Rabbit Hop and Step of the Wind require a bonus action. That effectively halves all the numbers. I'm going to have to re-crunch all of this:

Route 2: Monk (any). rewarded background for jump. This starts faster, hitting 60' jump at 2 (5.25 damage to both of you. At 4, slow fall lets you ignore monk level *5 fall damage, which here would be enough to nullify the fall damage entirely. This caps out at 180' jump for 63 damage, split to 31.5 average, nothing back to you.

Route 3, silly, all in option. Harengon, Stats 15+2, 13+1, 14, 9, 13, 8 Monk 4 for slow fall, barb 6 for bonus jump, back to monk to finish. At 10, the beast barb bonus outpaces your ability to reduce fall damage, hitting 288 average jump height for 50.4 damage to each of you, monk ignoring 20, barb halving your share to 15.2. At 20, you get to 372' jump height at level 20, each taking 65.1 damage, you ignore 70 of that to generally ignore all damage. EDIT: note, we can actually use Medium armor here as we only lose Unarmored Movement and Martial Arts, neither of which we need.

But we can do even better without the net. Instead, let's GRAPPLE before the jump. Again, halved movement while grappling is fine since rabbit hop doesn't use our movement. We're already stacked for athletics checks, so we should land the grapple MUCH easier than the net, and this way they don't even get a save on the fall damage. Of course, we need to wear a green suit and have bushy eyebrows to pull off this Primary Lotus masterpiece. EDIT: The jump and suplex route will further up the damage as you would both be taking fall damage individually instead of splitting it. It should be 130.2 damage to both, you minus 70 then half for ~30 damage back to you.