You should be able to as long as the vendor provides you with a BTC address in a format that the exchange you’re using supports.
Also, some exchanges are known to censor transactions to some addresses, so there’s a slight chance your payment might get denied. That’s a risk you take when sending from a custodial exchange… not your keys, not your coins. On the flip side, if the exchange pays the outgoing bitcoin network fee, you’ll save that cost.
Hopefully it will work for you.