You can definitely work your arms and save time by doing a circuit or by performing super-setting. However, I don't believe doing back-to-back bicep workouts will help you.
The idea behind super-setting is that you work different muscle groups. While one muscle group is being worked, the other muscle group rests. You lose this benefit when you just do the same muscle. I think it would negatively impact your hypertrophy since the muscle is exhausted. You would work closer to failure but I believe you'd need to drop the weight to meet any rep criteria.
Instead, I would do your workout using super-sets. The first workout pair is A (so you do A1 set 1, then A2 set 1, then A1 set 2, etc.), and then you'd go to group B. You called this your pull workout day, so something like:
A2: Supinated bicep curls
B1: Barbell rows
B2: Neutral bicep curl
C2: Pronation curl
In this fashion you're combining a back workout with a bicep workout. Your biceps will get a short "rest" while you're doing the other workouts.
Personally, it would be even better if you just did an arm workout without focusing on just the pull part. That way you could do the following, as an example, and it would be closer to the circuit you might have in mind: