I made an Ethereum wallet. Does my private key unlock the wallets on other EVM compatible chains such as Avax, Polygon and BSC?

Let's say I create a new wallet on Ethereum blockchain. The wallet address (which is basically my public key) is 0xABC123. Because I am the owner I also have the private keys to this wallet on Ethereum and can access the funds there.

But, does my private key also give me access to wallet 0xABC123 on BSC, Polygon and other EVM-compatible chains?

In other words, I am wondering if I create a wallet on ETH, do I then inherently also own the same wallet on other EVM-compatible chains. Continuing from above example, if someone would send me some BNB to my BSC address 0xABC123, would I have access to it, even though I never explicitly made the wallet on BSC?