No. Your ground and neutral must be seperate.
If you are working on old work you can install an ungrounded outlet, but that can be dangerous if something goes wrong. It is not legal on new work. Also you can't use a bare ground wire as neutral as it has no insulation. The bare wire must be ground.
Your best bet is to run new wire. Yes its more work, but it is the safest route. Please, please, please don't bond ground to neutral at your outlet. Do it right or hire a professional, negligence is fatal with electricity.