Yes, in general you can use the SKS CLIK TEC adapter with a CO₂ pump. Depending on the model, it may not always be possible to achieve a completely airtight connection, as the CLIK TEC adapter is simply pushed on.
With CO₂ pumps that feature a screw-on AV connection, the application usually works without any issues.
Important: An adapter is not absolutely necessary. Tires with the Clik Valve System can also be inflated directly via the SV opening of your CO₂ pump.