According to DragonFly Cave Catch Calculator, No.
On the site, it says,
Current turn (in a raid, this is the turn after you win - if you win turn 1, you throw the ball turn 2)
I set it to a level 20 Gigantimax Bulbasaur using a Quick Ball.
When adjusting the value, from turn 1, it says
You have a 91.058% chance of capturing it per ball. Thus, you have at least a 50% chance of catching it within 1 ball and at least a 95% chance of catching it within 2 balls.
And when I set it to turn 2....
You have a 27.233% chance of capturing it per ball. Thus, you have at least a 50% chance of catching it within 3 balls and at least a 95% chance of catching it within 10 balls.
This implies it would work if it were possible to throw a Quick ball before you attack.
Source