No. Unfortunately the popularity of bitcoin transactions will not drive the price up UNLESS we have more people buying bitcoin (new) using any other currency and the general population of bitcoin owners not cashing out their bitcoin for any other currency.

For the price of bitcoin to rise, we need more people buying bitcoin and fewer people selling bitcoin. Transactions from one person to another using bitcoin have a neutral effect on its valuation/price.

So, while the volume of bitcoin transactions doubling is a positive thing for us to infer that it'll increase the value of bitcoin it depends more on who is doing the buying and if the transactions are net new purchases of bitcoin.