The other views of the same cube in 1 point perspective imaging case can be got by moving the observer. If the imaging plane stays same (=in parallel with the front surface of the cube) the result is still 1-point perspective image.
1-point perspective imaging of a cube can be reversed - one can easily find a cube, an imaging plane and the placement of the observer (=the station point) which produce the given perspective image.
To solve your problem you should find the cube, station point and imaging plane which fit into your existing 1-point perspective image.
You have some freedom, perspective imaging isn't one-to-one math mapping. To keep everything simple you can assume the imaging plane is the front side of the cube.
Then you change the station point or the place of the cube and draw the new perspective image by inserting lines of sight.
A couple of methods to reverse 1-point perspective imaging of rectangular shapes are shown in this older case, where the questioner wanted to remove perspective and find the proportions of the original rectangles: Finding proportions in perspective