I previously amended a state return in turbotax. That amendment was accepted by the state. I need to amend this previously amended state return. Can I do that?

[Critter-3]

It is possible but probably not easy ...  

To amend only a state return:

https://ttlc.intuit.com/community/amending/help/how-do-i-amend-a-prior-year-state-return/00/26508

https://ttlc.intuit.com/questions/2824532-i-need-to-amend-my-state-return

[VolvoGirl]

Did you mail the first state amendment?  You can't efile it.  How do you know the state "Accepted" it?  Did they finish processing it?