No, an iPad with a width of 24.5 cm does not fit in the controller. The maximum internal length (pulled apart) is only approx. 26.5 cm, which is designed for iPhones and is too small for wider tablets such as iPads.
The Backbone One for iOS is designed specifically for use with iPhones and does not support connection to tablets. It is optimized to work with iPhone models, utilizing the Lightning port and other iPhone-specific technologies to ensure seamless gaming experience.
You can try it with PS Remote app. Your PS must be set to allow the connection. Firewall/port forwarding must be set. Then you can access from anywhere you have internet.