No it's not, but it is to implement policies which create a society in which people are best able to find happiness. The current status quo results in a risk of being ever more atomised, particularly when elderly or ill. The neo-liberal, turbo-capitalist dogma pushed through current policies of the last ten years particularly but more broadly those of the last 30 plus years seem almost designed to engender that result. Social value is rooted almost entirely in one's activity as a unit of economic activity - how much money you can 'make', how much shite you can buy. Jobs are hard to get, hard to keep, and poorly paid in the main, except some at the top tier which are grotesquely overremunerated, resulting in gaping economic inequalities which heighten the pressure on those at the bottom to 'make money' to come closer to a luxurious standard of living which is presented as the norm/the goal. The basics required by the lower tiers of Maslow's hierarchy - housing, power, water, healthcare - are hard to obtain and overpriced due to artificial scarcity. All of these things are areas the government has a hand in which they have been resolutely washing Pilate-style for decades, allowing their friends in big business free rein to capitalise from this state of affairs.
This has resulted in families being separated in the relentless search for adequate resources as generations move further and further away from each other in search of a job or housing when younger, or an affordable retirement when older. It has broken down community ties as we all become migrants, both internally and externally, the relentless churn especially in cities as people endlessly move from job to job and from home to home as their market rent outstrips their static salary hardly conducive to the forming of attachment to place or the fulfilment of caring obligations to family outside our immediate household. Not to mention the impossibility of people being able to save for a home means people are waiting later and later to have children, leaving them in relationships which don't have that cement of family or co-ownership to motivate sticking together when times are hard, meaning more people than ever are single late into adulthood.
Wow.
Basically, no it is not the responsibility of government to go round every little lonely old lady's house and give her team and sympathy and meaning in her life. But it is their responsibility not to engender an epidemic of atomised, halted, fractured communities by their actions and inactions.