iPad Pro and Docking Station
Can you connect an iPad Pro (Apple 11" iPad Pro M2 Chip (Late 2022, 128GB)
Using a direct connection to the tv; ethernet; wired mouse and wired keyboard?
If so, which docking station do you recommend?
iPad
Question marked as
You will need to consider a suitable USB-C hub.
There are many third-party USB Hubs that have a USB-C connection for iPad plus a USB-C PD (Power Delivery) pass-through power connector to which you can connect your USB-C Power Adapter - along with the hub itself incorporating a combination of additional USB-C ports, USB 2.0/3.1 Type-A ports, Ethernet LAN, HDMI, VGA, SD and microSD card-readers.
Perhaps consider Kingston, Anker, Hyperdrive and Satechi - although there are many others from which to choose. A Google Search for USB-C Hubs compatible with iPad will find a number of articles and recommendations.
If looking for an HDMI Adapter, be aware that very few USB-C HDMI adapters/hubs support HDCP 2.0 - absence of which will inhibit the ability to output copy-protected HD media content from iPad to a connected monitor/TV over an HDMI connection.
Note also that some iPad models that feature USB-C, such as your iPad Pro M2, also support DisplayPort Alternate Mode over USB-C. This protocol allows direct connection, with an appropriate Thunderbolt cable, to a monitor that supports DisplayPort - removing the need for HDMI.