It turns your old PC into a secure, fast browsing machine. If you treat it like an Android tablet, you will be frustrated. If you treat it like a super-secure Chromebook for Gmail, Docs, and web browsing, you will love it.
Short Answer: No. But here is what you can do instead. play store en chrome os flex
If you already installed Flex, give it one week using only web apps. You will likely realize you never needed the Play Store after all. Have a specific app you can't live without? Drop the name in the comments below, and the community will tell you the best web alternative. It turns your old PC into a secure, fast browsing machine