Playstation Portable, or PSP, systems do not offer the ability to text without connecting to Wi-Fi, as of 2015. Users must connect to a Wi-Fi network or router to text using the PSP.
The PSP has a built-in Wi-Fi adaptor for connecting to local wireless networks. To connect a PSP to Wi-Fi, the unit’s WLAN switch must be toggled into the On position. This switch is on the left side next to the analog nub in older PSPs or on the top of the PSP 2000 or 3000 models.
To connect to Wi-Fi, the PSP must be running system software 2.0 or newer. Once it is confirmed that the PSP is updated to the latest software, navigate to the Settings menu, select Network Settings, and then Infrastructure Mode.
If not already created, choose Create a Connection, and then New Connection. A WLAN Settings screen appears; select Scan from that screen to scan for wireless networks. Otherwise, choose to enter the connection manually. After the PSP scans for a network, a list of available networks is presented. Choose the network from the list, and enter a password for the network if prompted to do so. Follow the prompts for Address Settings, and name the connection if desired.