Not when installed properly, i.e. on a level, compacted base. Where I live, in the Netherlands, a great portion of streets, driveways, sidewalks, bikepaths are from klinkers, or bricks. Very rarely do you see any indentations in them (mostly when there was some roadwork and a part of them removed and then reinstalled. The whole reinstalled section sinks a bit, probably because there workers were not careful and did not compact the substrate to the same degree).

Some of these klinker roads see heavy traffic and they're perfectly fine. It's also nice to see the automated machines they have for laying them.