java.util.List<CTTwoCellAnchor> drawingAnchors = ((XSSFDrawing)sheet.getDrawingPatriarch()).getCTDrawing().getTwoCellAnchorList();
for (CTTwoCellAnchor drawingAnchor : drawingAnchors) {
    int fromRow = drawingAnchor.getFrom().getRow();
    int toRow = drawingAnchor.getTo().getRow();
    if (fromRow >= startRow) {
        drawingAnchor.getFrom().setRow(fromRow + n);
        drawingAnchor.getTo().setRow(toRow + n);
    }
}

XSSFDrawing drawing = sheet.createDrawingPatriarch();
for (XSSFShape shape : drawing.getShapes()) {
    if (shape instanceof XSSFPicture){
        XSSFClientAnchor anchor = ((XSSFPicture)shape).getClientAnchor();

        anchor.setRow1(anchor.getRow1() +n); // n can be negative to move up
        anchor.setRow2(anchor.getRow2() +n);
    }
}