I haven't seen any
Clone Wars or
Resistance, but my impression of them is they're pretty battle-heavy, too. So... the question remains.
Clone Wars had a bunch of political episodes that are mostly Padme having angry discussions with senators about peace treaties and banking regulations. There was a whole episode that was just Jedi younglings getting their kyber crystals on Ilum. There were a bunch of episodes with R2 & Threepio just wandering around having weird, random adventures (just like the old cartoon.) Then there's the Mortis arc that was three episodes of nothing but Anakin, Ahsoka & Obi-Wan dealing with The Father, The Son and The Daughter. None of who need blasters, let alone carry them. I'm pretty sure the episode where Savage finally tracks down Maul had zero weapons fire. Then there was 'A Sunny Day In The Void' which was literally just 20 mins of characters wandering aimlessly though a featureless desert (and was exactly as exciting as it sounds.) The Yoda arc which as the name suggests, was just Yoda going to various places strong in the force, having visions and trials with as one might expect, very little blaster action. So even for an action heavy show there were plenty of exceptions in it's 130 odd episodes.
As for Resistance; most of the first season was just a bunch of barnstormers and racer hanging out on some random backwater planet. So there was more or less an even split between slapstick hijinks and pew-pew action. I don't remember any specific examples, but I'm sure they're there if one cares to go looking (someone who isn't me.)
Someone already pointed out 'Trials of them Darksaber' as a blaster free episode of 'Rebels', but there was also 'Path of the Jedi' that was just Kanan and Ezra visiting the Lothal temple, chatting with Yoda on force Skype, having force visions and getting a kyber crystal. Then a season later there was 'Shroud of Darkness' where they go there again (this time with Ahsoka) but a similar paucity of blaster action. The two part second season finale was also 100% Jedi (and part-timer) on Inquisitors and Sith (and part-timer) action. Pretty sure nobody used a blaster in season three's 'Double Agent Droid' either. Then finally we have the fourth and final season with 'Dume' that was all about processing grief (sometimes with explosives) but no blasterfire that I recall. Which was followed immediately by 'Wolves and a Door' that was all sneaky-sneaky, and no shooty-shooty.
But if you want to restrict it to live-action I'm pretty certain that while 'The Streets of Mos Espa' in 'The Book Of Boba Fett' had a lot of pointing of blasters (and the slowest car chase outside of 'Lovecraft Country') there was no actual firing of said blasters.
So no, in this very specific sense; 'Andor' is not a mold breaker.
Nothing to say it is impossible
Except the fact that we know who Jyn parents are, both when and where she was born (on Vallt about a year into the Clone Wars), and all of that is rendered moot anyway since she's quite obviously not the same ethnicity as Kassa or Kerri.
Kerri was clearly born before the war since 1) the Republic was still around when they were separated, and 2) she was clearly older than said war at the time (at least 5 or 6, I'd say.)
So yeah, aside from all of that hard evidence to the contrary; nothing at all to say it's impossible!
