Not exactly. The ESP32-WROOM-32E module in this design is 18.0 × 25.5 × 3.1 mm, while the Freenove FNK0090 board appears to be the larger carrier/dev board, about 54 × 25 mm overall.
So: same ESP32 module family, but not the same physical board size.
The closest “same” board is the Freenove ESP32 WROOM Board / FNK0090, which uses an ESP32-WROOM-32E module like this design.
If you mean a common non-Freenove equivalent, look for an ESP32 DevKitC / ESP32-WROOM-32E development board with a similar ~28 mm × 57 mm dev-board footprint and matching header pinout.