#G (i.e. 20G) would put the cursor on line 20, but that's only useful if you have line numbers in your editor. If you have relative line numbers then #j movement is easy since the number you need to jump up or down should already be calculated.
I did turn on relative line numbers and still feels laborious compared to mouse click which happens within 500 ms.
Say I want to go up by 13 lines and on the 4th word:
Step 1: Scan visually on the left gutter for a line number (relative or not)
Step 2: 13j
Step 3: 3e (3 words to the right)
Everything else in vim is fast except navigation for me. With mouse, it is a little bit of a pain to move the hand over to the mouse and the click, but still feels orders of magintude faster than jumbling around with line numbers.