Hello Scott,
I have checked the PCF8593 datasheet and this RTC doesn't contain EEPROM. It contains registers, which if no alarm function is used, they can be used as RAM memory. You can access all registers in the PCF8593 by I2C interface.

Please first check the alarm enable bit in Control and Status register, address 00h.

If its 0, then the memory locations 08h to 0Fh are free RAM space and you can read what is in there through the I2C interface.
With Best Regards,
Jozef