Does Docker image come with Thread Border Router?

You need some hardware too for connect to the Thread network.

You can either get an USB Thread dongle (for example the conBee, ZB-1, sonoff MG21 , a lot of the zigbee USB dongles can be flashed to support Tread)

And you need the open thread border router to control it Docker Install  |  OpenThread

See for example here Pairing Matter over Thread devices (Ikea et al). Only HW needed; Conbee II or III how to pair.

You can also consider the https://sonoff.tech/en-nl/products/sonoff-dongle-max-zigbee-thread-poe-dongle-dongle-m that can directly connect to wifi/ethernet (still needs the open thread border router somewhere though)