Welcome to Just Answer. I am here to help you resolve your tax and finance concerns. Please feel free to ask anytime you need extra help.
Yes, you can still buy a home. However, your interest rate will be a bit higher and the lender will want a higher down payment from you and will be very likely to want this tax debt paid off at closing whether from your own money or by adding it to the loan. They will see you as being a higher credit risk because the tax agency can seize the home thus pushing them to a lower position of security.
You can buy a house. the debt will need to be paid off before the loan will close.
What type of taxes do you owe?