Yes, you can definitely have multiple cryptocurrency wallets. In fact, if you have more significant transactions and want to hold and trade various types of cryptocurrencies, it's highly advisable to use multiple crypto wallets. Furthermore, this increases the security of your crypto assets.
Some involved investors don't just have multiple crypto wallets for different types of coins, they even have multiple wallets for the same type of coin. These can be used somewhat like savings and checking accounts are at traditional banks.