My wife and I are both allergic. Long story short: we suffered, bought an oversized (HEPA) air-purifier (plus some small ones), suffered some more, then became much more tolerant of the allergens... only took a few years to not have asthma upon waking up

So, it can be done — but your mileage and allergies may vary. Downside is, a lot of my family is very allergic too, so staying at my house is almost non-optional. Upside is, loving best friends and... staying at my house is almost non-optional if allergic

We keep a pet-free guest bedroom for reprieve, but ya gotta want it. Antihistamines available upon request