To set up wireless on the HP Officejet 4620 printer, there are two primary methods you can use: the WPS PIN method and the WPS Push Button method.

**WPS PIN Method:**
1. On the printer’s control panel, press the **Wireless** button.
2. Navigate to and select **Wireless Settings**.
3. Choose **Wi-Fi Protected Setup (WPS)**.
4. Select **PIN** when prompted; a PIN code will appear on the printer display.
5. On your wireless router’s configuration page, enter this PIN to authorize the connection.
6. Wait about two minutes for the printer to connect; the wireless light will stop blinking and remain steady when connected[1][4].

**WPS Push Button Method:**
1. On the printer panel, select the **Wireless** icon.
2. Go to **Wireless Settings** and then **Wi-Fi Protected Setup**.
3. Select the **Push Button** option.
4. Within two minutes, press the **WPS button** on your wireless router.
5. The printer will establish a wireless connection automatically, indicated by a steady wireless light[1].

Alternatively, if your printer temporarily creates a wireless network (something like “HP-Print-4620”), you can connect your computer to that network, open a browser, go to the IP address `192.168.223.1` (the printer’s embedded web server), and use the **Wireless Setup Wizard** there to enter your Wi-Fi network’s name (SSID) and password to connect the printer to your home network[2][3].

These methods allow wireless setup without needing a USB cable. After successful connection, ensure your computer is on the same Wi-Fi network to use the printer[2].

If you require detailed visual guidance, there are step-by-step videos available online that demonstrate these setup options for the HP Officejet 4620[1].