Yes, you can definitely use bias tape to get this look. I would use the single folded bias tape. First sew the collar on the neckline. Then sew one folded side of the bias tape to the seam allowance. Then I would press the seam allowance/bias tape back down and hand tack it into place at the bottom of the bias tape, making sure the bias tape completely covers the seam allowance when flat. (If the seam allowance still peeks out, then trim it beforehand.) When sewing the bottom of the bias tape in place, the stitches may show on the right side of the garment but, in your example, it’ll be covered by the collar. Just make sure the collar stays free and doesn’t get stitched when sewing the bottom of the bias tape.