The First book sets up the setting of the whole series, as well as several main charachters, and the primary reason the Smoke Jaguars are chosen.
The Second and Third books set up Task Force Serpent and Bulldog, and describe the politics, the problems, and in one case a battle with a completly different Clan en route.
Four sets up the problems between Falcons and Jaguars, continuing the previous Falcon charachters storylines: it’s sorta a filler and technically while it has a connection to the series it’s shouldn’t be included IMO.
Five is the invasion of Huntress, and Six is the conculsion of that battle: including the reinforcements on both sides.
Seven is the aftermath of Task Force Serpent as well as the arrival of the Task Forces at the homeworlds and the final battle on Strana Mechty.
Book Eight is the final Jade Falcon book and describes Diana Pryde’s rise to fame, the Steel Viper war with the Falcons, and honestly doesnt belong in the series.
To answer your original question: technically no as you can skip both 4 and 8 and get the facts, possibly even dropping 1 as well. However IMO you should read the entire series and make your own decision. Also always read the entire series, expand your library!!!!