It does exist as I have it. First you have to buy RotHC, which you seem you have done or the Adv Cyber won't be available to you. Try again at the Fleet Crew skills vendor, it should be at the top of the list. If it isn't there, try creating 1 more level 6 item and then go back to the vendor.
Thank you for responding! I logged off, closed the game, and logged on again. This time, I saw Advanced Biochem with the Trainer.
It wasn't at the top of the list. It was down the list a bit, after Adrenals.