Can I assign "Print Screen" as a shortcut for Snipping Tool?

Not without installing special software. System hot keys must be in the following format:

Ctrl + Alt + Another key

Not all keys may be used as the last key, so just experiment to find what works. Unfortunately Print Screen doesn't. I just use Ctrl-alt-p

Using Windows 10, Win+PrtScrn will do a full shot and save to your pictures folder. Also, Ctrl+PrtScrn will let you make a selection.

First I used this AutoHotkey script to capture the PrtScr key and emulate a Win+PrtScr keypress, which then runs Snipping Tool for you:
```
SendMode, Input
PrintScreen::
  Send, {LWin Down}{PrintScreen}{LWin Up}
return
```
Put a link to the script in the Start Menu/Startup folder to launch it at every startup.
But then I got tired of not being able to customize where the files were being saved. So I abandonded Snipping Tool and installed Greenshot instead (2.5Mb), which can be customized a bit more. Greenshot is free as opposed to SnagIt mentioned in another answer.

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