Will a canon sd memory Card sdc-32m 32 work in a PSP?

No, a Canon SD memory card (such as the SDC-32M) will not work in a PlayStation Portable (PSP). The PSP uses a proprietary memory format called Memory Stick Duo or Memory Stick Pro Duo, while the Canon SD card is an SD format. Therefore, you would need to use a compatible Memory Stick for the PSP.