Hi Robert,
There is currently no API in Pro for location referencing functionality, but if your measure values relate to the length of your lines or are calculated according to a start measure and end measure for the lines you should be able to do this.
First you would need to interpolate the distance along the line that the measure value relates to. Then you could use the GeometryEngine.Instance.QueryPoint function to obtain the point.
ArcGIS Pro 2.2 API Reference Guide - GeometryEngine QueryPoint
Hope this helps.
Narelle