If yes, then you are in luck. It might very well be a templated slipcover and you can easily find a replacement for it, in the store that you bought the chair from.
There are many aftermarket sellers too for popular furniture brands. However, if it’s an upholstered chair, then you might have to make do with a readymade slipcover, which might or might not be the right fit.
Also called a universal slipcover, these are slightly loose and are designed to fit all types of furniture including specialized types of chairs and sofas, like a wing backed one. These are readily available in most big box stores in a variety of materials and designs.
The only possible downside to them, (if you consider it a downside that is), is that these are sized at least 10-20% larger than the chair and you might have to tuck it neatly into the corners.