In the midst of the ongoing Iraqi Civil War, Kurdish forces spearheaded by the Peshmerga militia were able to exploit the weakness of the central Iraqi government based in Baghdad in order to expand the territory de facto held by Iraqi Kurdistan. This spurred a long-awaited referendum on Kurdish independence from Baghdad within this territory, resulting in an overwhelming 93% majority for the 'yes' vote. However, Baghdad has rejected the legitimacy of the referendum, as have many other prominent international politicians including US Secretary of State Rex Tillerson. (Some background here and here.)

Nevertheless, there remains a chance that Iraqi Kurdistan, currently ruled by the semi-autonomous Kurdistan Regional Government, will be able to win full independence from Iraq either at the negotiating table or by use of force. Much less likely is the creation of a Kurdish state in Turkey or Iran, both with significant Kurdish minorities that have also fought civil wars in attempts to win independence, or at the very least, increased autonomy.

This question asks:

Will any Kurdish independence movement succeed to the point of a Kurdish state being admitted as a member state of the United Nations by the beginning of 2030?

A Kurdish state can be defined as any polity with the word 'Kurd', 'Kurdish', or 'Kurdistan' in its name, or with over half of its population of Kurdish ethnicity as validated by a reputable source.