Personally, no.
The OnePlus One had an impact because it was one of the very first devices that show that flagship specs and performance shouldn't necessarily come with a flagship price tag. It barely had any rivals in its price class and its closest rivals specs-wise were phones like the Samsung Galaxy S5, LG G3, HTC One M8, Sony XPERIA Z2 and others, and those phones cost $600+ when new, whilst the OPO was around the $300 mark when it was new, making it tremendous value-for-money. It does have its caveats, like the questionable marketing of the company and the invite system, which we still dislike to this day.
The Two is going to be way tougher to sell. That's because what the OPO also did was also give notice to other smartphone OEMs to create smartphones that pack flagship power for a midrange price, especially Motorola and ASUS, who have responded with the Moto X Style and Zenfone 2 ZE551ML 64GB respectively. The X Style is $399 for the base model and the Zenfone 2 is $299 for the 64GB model and $199 for the base model. That puts the OPT smack bang in the middle, at $329 for 16GB and $389 for 64GB.
However, why I said that it's a tougher sell is because the 2 devices offer more than what the OPT has. Both have support for Qualcomm Quick Charge 2.0, NFC and several OEM features like Moto Assist and some ASUS stuff. The most important part, however, is that these phones can be purchased outright and you can have it on the same day you've purchased the device if you didn't purchase the device online, unlike the OPT, which has the invite system from the OPO and the wait times are still questionably long, due to the way their referral system allows people to jump the queue by thousands of people.