The phrase "built up personalities" is correct and usable in written English.
It can be used to describe individuals whose character or persona has been developed or shaped over time.
Example: "Through years of experience and personal growth, they have built up personalities that reflect their unique journeys."
Alternatives: "developed identities" or "shaped characters".
Since then, the men have built up personality-driven regimes not unlike the one in President Vladimir Putin's Russia.
In time, however, Berdymukhamedov built up a personality cult that now rivals that of his predecessor.
Increasingly reliant on bad fringe actors like Nugent to connect with their far, far-right audience, the conservative media have built up Obama-bashing personalities who no longer occupy any corner of the American mainstream.
An anonymous South Korean critic said, "Hereditary succession of power [was an] inevitable consequence of the elder Kim's irrevocable commitment to the dream of founding a dynasty of his own and of his family", adding that Kim Jong-il's rise to power was proof of the "degeneration" of the WPK into a "thoroughly personalized family affair built up around a personality cult".
Thirty years in power, Hafez Assad built up a cult of personality around his rule that stood atop layers of loyalties constructed in the state's rival centres of power.
A sinister cult of personality has built up around al-Sisi since the coup, presenting him as a national saviour during the bloody crackdown against the Brotherhood which has seen thousands jailed and hundreds murdered in the streets.
By the time it finally interacts with the wide open world of adults, it will have built up the domain knowledge and personality to cope with what it sees.
This is how a personality cult has built up around him, despite his honest and accurate admission: "I'm not a personality".
Thinking something so at odds with the personality you've built up till that point shakes you like a ride on a busted waltzer.
