The short and simple answer is no. SEO and PPC are different “disciplines” and there is no correlation between your PPC spend and your organic search performance.
However, there is an indirect benefit. PPC should be part of your online marketing mix to strengthen and build your brand. The more brand trust and brand signals you have, the better your organic search performance. Besides building/ strengthening your brand you are also increasing your online audience and with that conversions as well as the chance for people to come back to your website.
Overall you are creating a more strategic multi-channel presence for your brand online. Keep in mind that your PPC Campaign can also target Google’s huge display and search partner network.
So to speak, don’t put all your eggs in one basket. To maximize results, it is necessary to align your PPC and SEO strategies.