No. Well, qualified no.
In CT, no. The J1 drive is the same size (and price) no matter the TL, provided it's the minimum TL9. Further, it uses the same fuel rate without regard to TL as well. And while the higher drives are more efficient per parsec of range, the minimum size drive for a given hull always increases with J#.
In MT, the drive doesn't change, but eventually (TL18+), the rate of fuel use drops.
TNE follows MT's lead; IIRC, so also does T4, but the initial relationship is slightly different from MT. In any case, the drive itself does not drop in size, mass, nor cost by TL.
Only with T5 is there the option to build a drive smaller by building it at higher TL. It's far less than dividing a higher rating drive by its rating would generate, tho.
Thanks. I definately misread or misremembered then.