No, you can't. The Z-series plug-in plate casing of the NPA-MQZ1K adapter kit was made to fit only the W-series plug-in plate included in the package and not an the NP-FW50 battery pack.
WARNING! There is a risk of hardware damage if you force an NP-FW50 battery into the plug-in plate casing. The battery may get stuck inside or may damage the battery contact point or the inside of the casing.