Firstly, welcome to the forum!
Due to the popularity of USB, there are various converter ICs available that handle the conversion between USB and various protocols such as SPI, I²C, UART etc. FTDI, Microchip, Texas Instruments are current manufacturers of such ICs. You'll have to figure out the protocol used the the camera in question before you can choose a conversion IC. Alternatively, you can opt for a microcontroller at high speed to handle the conversion, and implement the solution in software.
Once you have a hardware and/or software design worked out, the next problem is to figure out an FPC connector that is compatible with your camera. They often have very specific and proprietary flex interfaces, which usually cause more than a single headache.
After solving these issues, the design of a PCB should be a rather trivial matter.
Good luck!