Is it possible to change the Field Data Type from Text to Formula in Salesforce Object?

No, its not possible. Formula fields are a read-only fields that cannot be converted to any other data type.
Likewise, you cannot convert any other field type into a formula field.

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I am Sakthivel Madesh, a certified Salesforce Advanced Developer & Administrator working on Salesforce Technology since 2011. I am currently working in Techforce Services as Sr. Salesforce Developer. I have worked on multiple technologies Like PHP, Java, Salesforce, I am very passionate about Salesforce and to earn 15x Salesforce Certification. I love Trailhead for learning Salesforce Skill and Become a Trailhead 5x Ranger too. I Love to Learn & Share my Salesforce knowledge to Salesforce Learners/Beginner using My Blog and Salesforce Community.

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