I am 10 days late on my period, and I am having a brown discharge. Is there still hope that I am not pregnant?

Just because you are late doesn't mean for sure that you are pregnant. Of course though, if you had sex there is a possibility that you could be pregnant. Take a home pregnancy test to know for sure.

There are many reasons you could have a delayed or missed period. Your age could have a lot to do with it. If you are young it is common to have abnormal periods. Stress, poor diet, medication, being sick, etc... can all effect your period. Pregnancy is just one of the many many reasons you might skip a period.
If you are worried about being pregnant take a hpt test to make sure.