Firstly, "non-sectarian" doesn't mean "non-christian".
Yes. This was the main reason I checked out this question as (despite having been something of a bible-thumper in my misguided youth) I am not aware of any sectarian variance in The Lord's Prayer (as it is generally known in the US). Whether Catholic, Protestant, or any number of Protestant variations, I've never encountered a version that substantially differed from any other. Some individuals and denominations prefer King James English while others prefer a more modern translation, but that's about it from what I've seen.