I doubt that an analog scope can do this, because an eye diagram is the result of a high number of measurement runs.
Every of the runs should be made with different input parameters (different address, different data....)
An eye diagram is used to show the extremes in timing variation and voltage variation.
An analog scope can do it if trigger holdoff time is fast enough (faster than the phosphor persist time). And, of course, provided the scope has high enough bandwidth.