YES, you can be a big data engineer after pursuing computer engineering. As a program coordinator, i have seen various students shifting from IT/Engineering to Data Science background and being very good in their work as well.
Here are a few reasons of why is this shift to data engineer field good—
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Computer Engineers are already well informed about the programming tools and languages which is a plus point when you enter data science field.
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Computer engineers have a good exposure to solving real life problems, which is in turn the most important goal of being a data engineer.
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More than any other field, shifting from computer backed field provides you immense help in getting into data engineering and also make you excel in your field.