I don't know how to do it in MorphoJ, but once you have your landmarks coordinates, that's relatively simple to calculate any distance between any pair of landmarks using basic trigonometric formulas in Excel, R, or many other softwares.
Choose the dataset you want to export in the project tree and choose export dataset, select Procrustes Coordinates when you get the chance). Open it in Excel and then use the pythagorean theorem (a2 + b2 = c2 ). For you, this will be change in X and change in Y, no worries about signs or which one is greater as the squaring will take care of this.
You can alternatively measure linear distances in TpsDig software, too, if you have a reference length (ruler) on your image. First, go to the Image Tools>Measure. Give your reference length (in millimeters or other units) and click "set scale". Then click on the starting and ending point of your reference length on your image, and click OK. Then, you can choose "Make linear measurement" icon, click on any two landmarks (or any two points on image), and TpsDig will display a linear measurement in millimeters (or other units). If you do not calibrate for reference length, "Make linear measurement" will display distances between two points in pixels.