2. There is no coil in a charge pump :). They use capacitors and switches. There is no inductor. For a charge pump to drive an eink like screen you need caps of about 10-20uF. I've designed about 3 different boards that drive high-res e-ink screens. You can't get those caps below 1mm at the very best.

3. Are you sure you are getting 0.2mm PCBs? That is only 8mils thick! Most standard PCBs are 62 mils ~ 1.5mm. Can you tell me who these guys are that would do super thin at prototype prices? I would want to use them (no sarcasm).

Minimum IPC thickness for 4 layer board (which is what you need for the EPSON driver to those e-inks) is 12 mils but even at that you'll have mechanical problems with that PCB. Credit card thickness FYI is 30 mils = 0.030".

What I would say to these guys is: "show me a prototype with the appropriate thickness. You have a prototype, right?"