If you’re fine with waiting a couple days for the gazelle to tire out before you can catch up to it, sure. And that’s if you know the signs to follow where the gazelle is.
From the linked Wikipedia entry it seems that it usually takes 2 to 5 hours, and 25 to 35 km chase. Not sure why you say "couple days". And hunters usually know the signs to follow to track a gazelle, so that's also non-issue.