Yes. Cut it all the same way -- either all lengthwise or all crosswise -- making sure to measure from the center out to right edge & center out to left edge,
not from edge to edge.
Also, I re-discovered this Jinny Beyer video about how to do rectangles. She pieces it together in the middle so you supposedly don't have to make the repeat fit. I saw it after the last time I did a patterned border so I don't know how it works. I do wonder whether it would work with a larger repeat, but might be worth a try:
https://www.youtube.com/watch?v=cNPOkcyrMSg