Can I convert DALI devices into a Wireless device

Yes

DALI-2 certified devices can be connected with a Wireless bridge to work on a wireless network.

https://zencontrol.com/wireless-bridge/

Users that are using a D4i driver can do so without the need for an additional dali PSU ( as the PSU is built into a D4i driver). Standard DALI-2 drivers will require a standalone Dali PSU to provide power to the system.

https://zencontrol.com/products/dali-2-power-supply/