Can I install magento theme version 1.9 over magento 2.0.2
No, you can not. Magento 2's theme format is completely different than Magento 1's.
The architecture of Magento 1.9x is entirely different than Magento 2.x so technically it's not possible to migrate a Magento 1.9.x to 2.x without actually changing the entire theme architecture. Magento 2.x is not backward compatible with Magento 1.9.x so it's NOT possible.