No, you can obtain Italian citizenship only if you reside in the country for at least ten years.
However, it is possible to get an Italy residence permit by investment.It is not possible to obtain a residence permit in Italy and move there if you buy real estate. The Investor Visa can be given for the following investment options:
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.investment in an innovative startup — €250,000+;
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.business investment – €500,000+;
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.donation to the philanthropic organization – €1,000,000+;
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.purchase of government bonds – €2,000,000+.
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However, you can buy a property in Italy and move there under standard conditions such
as work, studying, family reunification, and descent.