This is a hard question to answer because it is hard to do the homework without technology. I would check and see what other technology they have at home and also if their are any centers near their home that they can go use a computer. You could also allow the child to have some time during the day or ask the student to stay after school to get the homework done in the computer lab. It depends on the age too! If they are in middle school, then they could just ask their friends to use their computer. If in high school, they should be responsible and able to go the local library and use the computers there. It is a little harder in elementary school because they may not want to ask their friends to use computers and also working with the parents. The parents may complain about the homework, that the child cannot do it because of no technology. But if they truly cared about their child's information, they would find a way! Like taking a trip to the library! I hope this helps!
I would see if the student was willing to do the homework at school, before or after. I would see what types of technology the student has and if he or she doesn't have any, I would see if he or she could get a ride to your local library. If none of these options work I would just give this student a print out of the assignment or an alternate assignment that does not include technology. It is out of your control if you have tried your very best to come up with ways and then nothing works. I would keep asking around. Good luck!