Yes. There are lots of blood tests that screen for food allergies, including sensitivities and intolerances to common food groups like dairy and gluten. You can also buy blood tests that screen for environmental allergies, too. Everlywell is one of the best options for allergy testing, with kits that screen for over 200 food sensitivities.
Most at-home blood tests can’t diagnose a food allergy, but they can certainly indicate if you have a sensitivity. You should always take your results to your doctor to get an accurate diagnosis before changing your diet.