Yes this is very possible. You are fighting a full-blown algae bloom and it's going to take a lot of chlorine--there's no magic cure. You want to get your FC up to shock level (I think I said yours is 15 ) and keep it there. You need to check your water 2x to 3x a day and RAISE THE CHLORINE whenever it's low. If you can, get 5 gallon carboys (blue) of 12% liquid chlorine, spend the $5 on a nozzle for them (looks like a screw-on wine keg spout) so you can add a lot at a time. 1 five gallon carboy is the equiv of 10 gallons of Ultra bleach.

You don't need to worry about your liner bleaching--all the chlorine is going to go to kill organics--that's why it turned green.

good luck and prepare to fight it out!