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—
Computer Engineers are already well informed about the programming tools and languages which is a plus point when you enter data science field.
Computer engineers have a good exposure to solving real life problems, which is in turn the most important goal of being a data engineer.
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.