No. Cameras with Memory Stick memory cards have not been made for years and neither have the cards. Maybe replace the 14-year-old Sony one. That was one of Sony's own concoctions. At some point they finally switched to SD cards.
you can use either a "Memory Stick PRO Duo" or "Memory Stick PRO-HG Duo" with the camera. Other "Memory Stick" types or memory cards are not compatible with the camera.