Can I have two Google Play Store open at the same time?

Yes, it's OK. You can use Matrix Clone.

Use the Matrix Clone method:

1. To install Matrix Clone, you need to download and install it from the Matrix Clone official website.

2. Click the “+” button in the upper right corner of the Matrix Clone application.

3. Select Google Play Store and create a second account.

4. The app’s icon will now appear on Matrix Clone’s homepage.

5. Click on the new app icon in Matrix Clone; this will launch a new instance of the app and allow you to create a second account.