I don't have any experience with it myself but a quick Google suggests it's edible: https://www.wildedible.com/bittercress
Hairy bittercress (Cardamine hirsuta) is a really unfortunate name for a wonderfully tasty edible weed that is perfect for foraging. It's a wild mustard, so its bitterness is more spicy-hot than bitter, though it's not nearly as hot as some other members of the Brassicaceae family. A more appropriate name would be Not-so-hairy and pleasantly-mild spicycress. Like all brassicas, Hairy bittercress is an excellent natural source of vitamin C. Its flavor profile is similar to watercress but bittercress is more readily available. It makes an excellent substitute for micro-greens. Use Hairy bittercress as a main salad green, garnish, or in a sandwich. The roots are also edible and can be blended with vinegar to make a sauce or dip that's similar to horseradish.
I presume you've tried to eat it but dislike the flavour?
That page says it can be invasive and best to harvest it by removing the whole plant, so I guess if you don't like the taste probably best to remove it before it becomes too established. But if you like the flavour I guess it won't be a problem dealing with it!
Having said that most weeds don't do damage to soil but rather their appearance is a sign of disturbance, and weeds will grow until the soil improves and other plants become established. So if it's not causing you any problems it's probably doing the soil some good having it growing.