Institutions, over and above "political sustainability", are the channels through which economic, social, and other progress can happen. From this optic, I would argue that SDG-16 can be taken to address the need this query alludes to.
PS: SDG-16 (Peace, Justice, & Strong Institutions) aims to promote peaceful and inclusive societies for sustainable development, provide access to justice for all and build effective, accountable, and inclusive institutions at all levels.
Article Building Institutional Capacity for Development
Sustainability = is Needs Security, which is the capacity of the people living in a community to meet all their needs in 24h/d/ca, using the skills of the population and the resources/ecological services from the land/air/water that they are stewards of, in perpetuity. It can also be used to mean 'being able to continue', but the first definition provide the 'how'.
Politics = (from Wikipedia) the set of activities that are associated with making decisions in groups
Political Sustainability would therefore be the set of activities that are associated with making decisions in groups that would lead to the people of a community to have the capacity to meet all of their needs in 24h/d/ca, using the skills of the population and the resources/ecological functions of the land/air/water that they are stewards of, in perpetuity. If put together the other way, Sustainable Politics would be a system of governance that can be maintained in perpetuity. I would argue that both of these terms imply the same thing.
Since sustainable development as a concept only makes sense in the community context, de facto it must require making decisions as a group. So political sustainability would therefore be inseparable and I would suggest indistinguishable from the umbrella term of 'Sustainability'. Economic/ Ecologic/ Social can be viewed from a specific perspective as distinct from each other (knowing, of course, that reality is a continuum, with no real gaps between the ideas, so all boundaries drawn are artificial constructs), but the Political can not be - essentially because individuals or groups so small as to not require politics are not sustainable.
So, final answer: no.
And I don't like the idea that there are discrete 'sustainabilities'. In absolute terms, a community either is sustainable, or it is not. Even in relative terms, any form of development that focuses only on one aspect is not sustainable. All 3 legs of a stool are required - looking at them in isolation is an academic exercise of little value.
El término "sostenibilidad política" está directamente relacionado con la variable poder. Su análisis es muy diferente de la sostenibilidad psicológica