Short answer is no, they will die from too much ammonia etc when cycling.
So no shrimp sorry, I thought you were thinking of after cycling. if you are getting algae try cutting back on light. If it is the brown kind it is diatoms.
As a side note there are now some Amano shrimp they are calling Blue and they have some color to them. I have only seen pics, my lfs
doesn't have them atm.
New to FW fish? First tank in a long time or EVER??? Need some info on keeping fish?
Start here - Aquarium Advice Article
FW Favorites right now Clown Loaches, any shrimp - SW Vase Red Mangroves