Yes, you can, as long as you incurred the debt using a valid U.S. social security number or ITIN number. Note, that an American bankruptcy will not eliminate debts incurred in other countries.
For more information about filing bankruptcy as a non-citizen, check out the article titled Will Bankruptcy Affect My Citizenship Application? in our Learn Center.
If all of their debts were incurred in the United States and all of their property is located in the United States, eligible individuals may be able to use Upsolve's free app to prepare their bankruptcy forms.