The simple answer would be no. The codebases simply aren't in any way similar. Bitcoin devs would need to do a massive rewrite of the code to implement ring sigs with confidential transactions, it would require a hardfork and would likely break functionality with code outside of Bitcoin such as wallets and such.
The longer answer would be maybe. It could possibly be integrated as a sidechain, but even then, it would not be as private as Monero's implementation as it would not protect fungibility on the Bitcoin blockchain, so chainalysis would still be possible, albeit harder. Given that, it would likely be a huge amount of effort for little gain.