No, Elon Musk does not have his own cryptocurrency. However, he has been influential in the crypto space, especially with Dogecoin (DOGE), which he frequently tweets about and supports. His companies, Tesla and SpaceX, have also accepted Dogecoin for certain payments.
He only has influence on the crypto space
Although Musk has not launched his own coin, scammers have created fake cryptocurrencies using his name, such as “Elon Coin” or similar names, but these are not officially associated with him.
Beware of any crypto people claims to founded by Elon Musk, however, perhaps in due cause he may choose to do so.