No, but all the docks compatible with your W520 have DisplayPort++, which means they can output an HDMI signal easily with a passive adapter. All the Series 3 docks are compatible with your W520, if the power supply is adequate. I think the W520 may require 170W. Does it fit in your dock? Or do you run it off 135W?
Current: X220 4291-4BG, T410 2537-R46, T60 1952-F76, T60 2007-QPG, T42 2373-F7G
Collectibles: T430s (IPS FHD + Classic Keyboard), X32 (IPS Screen)
Retired: X61 7673-V2V, A31p w/ Ultrabay Numpad
Past: Z61t 9440-A23, T60 2623-D3U, X32 2884-M5U