Short answer is - possibly. It would depend on how delinquent they are and to whom they are owed. If there are judgements and tax leins filed against you, they would need to be satisfied prior to loan approval.
As with many questions such as this, many of the variables for your situation involve private information that you do not want to air in a public forum. I would be happy to consult with you about your specific circumstances and how to best proceed toward home ownership.
Fairway Independent Mortgage