Enforcing Wage Garnishment against self-employed person

Does anyone have any ideas on how to enforce a wage garnishment order against a self-employed independent contractor? The Writ was served, but the individual refuses to meet their obligations. Generally, Can a Contempt of Court motion be filed?

Depends on the laws of the applicable state, which you didn't identify, and on what "self-employed" means.

Generally, if a person is doing business under a fictitious business name, then he/she is not earning wages and, therefore, is not subject to wage garnishment. On the other hand, if a person is an employee of his/her own corporation, then he/she would, presumably, have wages, unless the corporation is set up to pay regular dividends instead of wages. In that case, a different form of levy/garnishment would be in order (again, though, it depends on the applicable state law).

If you can't do wage garnishment because of no wages, it might be possible to attach his receivables.

You would have to summon him to court for a debtor's examination to find out who his client's or customers are and how he gets paid.

Unfortunately, if he works on a cash basis that might not work.