I think there are a couple of project already doing this. The one i am more familiar with is WBTC(Wrapped BTC or BTC on Ethereum network). The project started off in 2018, if i remember very well, It wasn't popular back then but the DeFi hype resurrected it.
What I don't like by this kind of arrangement is that more money is now going int ETH more than it's supposed to be for BTC -
Nearly $100M in Bitcoin Moved to Ethereum in July, Led by Retail TradersThis consequently affects the price of BTC in general. For example since March, BTC price has risen by about x2 But Ether's price has risen by about x3.5