Can a malicious contract drain funds from 1 wallet address on multiple chains?

For example. I have a metamask wallet. My eth address let's pretend is thisdudeisawesome.eth. With this wallet and address I used multiple chains such as BSC, Polygon, Arbitrum and Optimism. Dumb old thisdudeisawesome.eth interacts with a contract in defi out of curiosity. Connects his wallet on Optimism and decides to stake token ABC for 50% degen yield. Dude doesn't check his wallet for 2 months and to his surprise all tokens he has on BSC are gone. Upon reviewing explorer he realizes all funds were migrated a month and a half prior and can see this all came from interacting with that damn smart contract on that defi platform he decided to stake token ABC for 50% degen yield. Live and learn right? So the big question is. Are dudes funds on other chains at risk also or is the risk contained only to the BSC chain?

I don't know the answer which is why I am posting here. I think this would be of immense value to the community to understand how this works. Tried researching online but all I came up with was bridge hacks and defi hacks. Hopefully someone smart enough can provide some insight so we can all be more cautious about how we go about our crypto life.

Thanks in advance.