Motivated by your communities question, I wrote up a blog post on Customizing Survival Plot in Graphically Speaking. This blog is also a good reference for graphs using SAS in general. You can enter a search term on the right to find articles on topics of interest.
Note, in this article I avoid the usage of annotation, a powerful and advanced technique. Annotation allows you to customize the graph very extensively, but needs some learning. In the examples, I use SGPLOT statements and options to achieve similar results, though your mileage may vary based on your requirements.
In this solution, I do not actually reduce the x-axis offset. I just remove the y-axis line and limit the display of the x-axis line up to the "0" value so it "appears" as if the offset is removed. You can add a reference line at x=0 to create the appearance of a y-axis line.
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