IF the drawers had 90 degree corners (ie sides actually vertical, with no internal radius at the bottom) there is a way.
(But they probably are slanted, with radius corners.)
1. Cut a block of wood that's a press fit in the drawer, but about twice as high as the drawer.
2. Find some aluminium thin section L-shape extrusion, with the long side as high as you want your partitions, and the short side about 2cm.
3. Cut slots in the wood, that will hold the partitions. Press fits with the partitions, and all exactly the same depth of slot. Depth cut so the block rests on the partitions, while not itself reaching the bottom of the drawer.
4. Using some precision power saw, clamp and end stop, cut as many partitions as you'll need. (A lot!)
This is why it will only work if the drawer sides are vertical, with very minimal internal radius at corners.
Carpenter's drop saw with very sharp blade will work, so long as the aluminium piece has backing support right next to the cut.
5. For each drawer, press partitions into the wood block slots. Apply glue of choice to the bottoms of the partition L. Press the whole thing into the drawer, so the partitions get glued down. Good luck finding a glue that permanently sticks to that plastic and aluminuim.
6. Wait till glue sets, remove wood block.
Though personally, I think 6 sections per drawer is unworkable, unless you are planning to always use tweezers.
Oh, I suppose if it's for SMDs, tweezers it is then.