May be pushing it too far. Using the Teensy as a HDMI, touch to usb converter?

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So i guess be for even getting into the project I have to ask some preliminary questions.

Can either the Teensy 2, 2++, or 3(preferred) support one of the following TFT LCD modules​

If so, here is the idea.

Im looking to use one or two teensy's for this project.​
  1. With one teensy i would like to turn the TFT LCD into a screen that will support HDMI(preferred)/DVI/VGA support
  2. The other teensy would allow the touch screen to be interfaced with a usb cord.

Possible or not?
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