Yes, you can rewrite the sentence that way.
Those weren't actually Paul's words to the Philippians, by the way: his words to the Philippians were in 1st century Greek. Your first quote comes from a translation made in Shakespeare's day, the so called Authorized Version (Americans call it the "King James Version"). It's written that way not because Paul wrote like that, but because that was the way educated people wrote in the 17th century.
Language changes though, and nobody speaks or writes that way at all. Your second quote comes from the New International Version, written in the 1970s, and so is written in a 1970s style.
It's important to note that the NIV is not simply a "modernised" version of the Authorised Version. The writers of the NIV went back to the Greek, Hebrew and Aramaic texts and translated them.
Student or Learner