Could I change gears when driving?

I have a 2005 Honda Civic hybrid and it's a automatic but I saw on YouTube people changing gears on automatic and stuff and I was just asking since mine has S and L could I start from L which is first gear and drive then change to S and then D for drive? So it can sound like a manual car? Would the car allow me to change into those cars while the car is running or will it miss up the transmission?

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