Sure. It might have been different in other places but when my folks took out traveller's cheques in the nineties to travel to e.g. the caribbean the 'cost' in the form of a slightly worse currency price wasn't a serious issue, in part because ATM fees/exchange rates were way steeper than piecemeal exchanging the cheques for local cash. Getting a bank to reissue cheques was easier than replacing a card too.

Some destinations were probably cash friendly, i.e. no one would scope you out for theft, but that's not the kind of travel I had in mind. I'm actually not that familiar with that kind of travel, I've mostly travelled on a budget or to less touristy places.