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Could a winged humanoid with two sets of wing types (one set on the back and one set on the arms) function properly

So, I've been experimenting with this idea of someone with the power of winged flight. The details about said character I haven't fully figured out and might not make. That said, I have a basic idea on the main attributes of the character, which is winged flight. The concept is that the character would have wings on the back and foldable wings on the arms.

The ones on the back being high speed wing types resembling pterodactyl wings, functioning as extra arms to an extent, and being used primarily when the character wants to fly fast and glide at greater speeds.

The wings on the arms are elliptical types resembling bat wings that are whipped out when the character wants to use greater maneuvrability and glide for longer periods of time, as well use for sudden bursts of maneuverability to avoid attacks like incoming projectiles.

With that in mind, I now wonder if such a concept could work. Now, yes, a human with wings, especially on the back, is questionable in itself but it is fiction. That said, there's fiction and there's absurdity. So, the question at hand is would a creature (let alone a humanoid) actually be able to fly properly with this type of wing set up, let alone the way I suggested, or would the two different wing types clash with each and cause more problems, meaning they should just have the same wing types for both sets of wings.