Can someone with ONE minecraft account and two computes play together? [duplicate]

This answer implies that you are asking this question essentially:
Can me and my friend play Minecraft together, if we only have one Minecraft account?

Legally, no, you cannot play together by simply having one account. Both need to have an account to verify on the minecraft servers before the launcher will let you play the game. Though there are some ways around this, you are not allowed to do this legally.