I understand what you mean, but no. If you use a linear y-asis, you want to see for example that it goes to twice the amount, or halve the amount. The data-to-x-axis distance does this when the zero is not suppressed.
Alternatively, you can go to a log plot, where constant factors produce constant shifts. But even then, one would typically not put the x-axis origin at 1 on the y-axis.