Not on a PIC.
Sorry, I haven't been paying attention to this thread... I implied (perhaps erroneously) that all Static RAM is non-voltatile (trouble when reading too many different manufacturers product Datasheets). Only some types are. I haven't gone through all of Microchips offerings so I can't answer if there is non-volatile RAM amongst their product range - a question that could be posed to their technical enquiry line.
There are no Microchip (or Atmel, Freescale, Infineon, Renesas, ST, TI, etc.) offerings that have non-volatile Static RAM. The only MCU's with non-volatile RAM are a few from Fujitsu and Ramtron - however, their RAM is implemented as FRAM (ferro-magnetic RAM) which is quite a different technology altogether.
There are also external RAM devices based on the above mentioned FRAM and BBSRAM (battery backed Static RAM) from several sources.
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