Yes. They're all fairly simple archetypes, which is why they work so well.
Laurana obviously has the Noble background, and is a Rogue. You could make her a Crown Paladin.
Sturm is a Devotion Paladin. with the Noble background.
Laurana is definitely a fighter IMO. Probably a Banneret thematically, with superior technique fighting style and commanding presence maneuver.
Gilthanus is probably an Eldritch Knight or maybe a Ranger. I would say bladesinger, but since he never did the trials he could not be a high level caster.
Riverwind Barbarian, Eagle or Elk.
Tika - I want to make her a Rogue but the frying pan does not work with Rogue. So I will say she is a Champion, but she gets unarmed fighting style and the tavern brawler feat. I would be inclined to say she is a multiclass thief.
Tasselhof - Swashbuckler Rogue with criminal background.
Raistlan is a war wizard, mercenary background.
Flint is a hill dwarf battlemaster, quick toss, tactical assessment, probably precision.