Yes it would except there isn't nearly enough space unfortunately.

You'll need a SATA cable also - likely a desktop SATA to laptop SATA if such a thing exists (I assume the laptop SATA drives have smaller connectors).

And a power adapter somehow to take +5V from the empeg drive connector and connect to the drive's power connector

Plugs and sockets everywhere frown All technically possible though. Could almost be a project if the bridge chips are available readily.
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Christian
#40104192 120Gb (no longer in my E36 M3, won't fit the E46 M3)