Comment by MaDeuce

Probably not. A hardware description language (HDL) is used to program the behavior of the FPGA (that's the FP in FPGA). The HDL is usually stored in flash or EEPROM. As you mention, flash supports a finite number of writes; I'm not sure about EEPROM behavior. The bottom line is that the typical FPGA can only be programmed a fixed number of times (e.g., I think Altera is ~100). Some FPGAs can only be programmed once.