Can I wire 2 SD card slots on different modules together to share an SD card?

Hi, I'm trying to make a music keyboard that has the ability to record samples with a microphone. I want to use a wav trigger module to store the sounds played by each key, and a sound recorder module. They both have their own SD card slots. My question is can I wire them together to share the SD card so the wav trigger can read the sounds recorded by the recording module? I would use the Arduino to select either record or playback mode, which would turn off one module while the other is using the SD card. I also would possibly have the Arduino with its own connection to the SD card slot to be able to delete files and change file names. Will this work??