Yes and no. Zigbee is both the transport and the protocol, whereas Matter is a protocol but can run over different transports. Most common in Thread or WiFi, but it could be over ethernet or anything else, really. I would say Matter is not derived from zigbee, but Thread could be considered a derivative.

Both use 802.15.4 but iiuc zigbee does that with some incompatibilities.

That in itself is an umbrella.

There's 3~5 variants that require separate radios or at least separate frontends to work probably.

Notably these days are the ZigBee PHY and the FiRa PHY.