Yes, you can. When you issue the first startx command on your system, it opens the first X-session on the default display 0. The second X-session must be opened on a different display. For example, this will open a second X-session on the display 1:
startx -- :1
You can have up to 6 concurrent X sessions. Use to switch to display 0, to second screen, etc. up to Try man startx if you need more info.
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