I tried to verify the dimensions of a cell I drew with its datasheet. But I don't know how to measure
the distances other than the pitch. I couldn't find the proper tools to measure other measurements.
Use the Edit > Measure commands...
Just saw Vern's comment - if you just need measurements (not dimensions) that will certainly work. Just make sure to switch into 'Edge Mode' rather than 'Center Mode' for the measurement.
Unfortunately, you cannot dimension directly to a pad edge. This is a request on Mentor Ideas (Idea D8038) that I encourage you to vote on.
As a workaround, you can create a rectangle the same size as the pads on a User Layer and dimension from edge-to-edge on those instead. This should let you put in all the dimensions you need. You may find RMB > Snap > Toggle Hover Snap useful in creating the rectangles the same size as the pad. In the picture below, I created some pink rectangles on a User Layer and was able to dimension between them.
Retrieving data ...