Can I open two TFSA accounts?
You can set up multiple Tax-Free Savings Accounts (TFSAs), however, keep in mind that the annual TFSA contribution limit is a single contribution limit for an individual. If you set up multiple TFSAs, you cannot contribute more than your annual contribution limit to all of them combined.
For example, the maximum annual contribution limit for 2018 is $5,500. If you have two TFSA accounts and you would like to equally contribute to them, you can contribute $2,750 to each of them to max out your 2017 contributions.
The Canada Revenue Agency (CRA) sets and enforces TFSA rules, including penalties for over-contributions. Read this previous question to learn how to check your available TFSA contribution room.