Yes, there are web hosting providers that will accept Western Union as a form of payment. Typically small web hosting outfits will be more accomodating versus a larger corporation. Some web hosts may consider Western Union payments as more time consuming to process. Collecting a Western Union payment versus depositing a check or money order at a bank involves more work for the web host’s billing department.
Some web hosts may require advance payment in either 3 month terms, 6 month terms, or even 12 month terms before they would accept a Western Union payment. Western Union money is good as cash so before making a payment to a web host. You should do your research and look for reviews of the web host you are interested in paying with Western Union to make sure they are a reputable web hosting provider and won’t scam you.