Directly within the SPSS output if you use the Graphboard template GUI and specify animation you can get this behavior -- but unfortunately it does not appear you can get the interactivity when exporting to a html document. (I wouldn't claim expertise in this though - I don't play around with those templates very much - so maybe someone from SPSS can come and say if I'm mistaken and this capability exists somewhere.)
You can export to JPG with tooltips - see here for one example,
https://dl.dropboxusercontent.com/s/t2r2ph0abd4dvnd/ECDFChart.html, and here for a tutorial
https://www.ibm.com/developerworks/mydeveloperworks/blogs/SPSSStatisticsGraphHints/entry/creating_tooltip_popups_for_charts_exported_as_html15?lang=en***************************************************.
SET SEED 10.
INPUT PROGRAM.
LOOP #i = 1 TO 300.
COMPUTE X = RV.NORMAL(0,1).
COMPUTE Y = RV.NORMAL(0,1).
COMPUTE Cat = TRUNC(RV.UNIFORM(1,11)).
END CASE.
END LOOP.
END FILE.
END INPUT PROGRAM.
DATASET NAME Test.
EXECUTE.
FORMATS Cat (F2.0).
VARIABLE LEVEL Cat (NOMINAL).
GGRAPH
/GRAPHDATASET NAME="graphdataset"
VARIABLES=Y[LEVEL=scale] Cat[LEVEL=nominal] X[LEVEL=scale]
MISSING=LISTWISE REPORTMISSING=NO
/GRAPHSPEC SOURCE=VIZTEMPLATE(NAME="Scatterplot"[LOCATION=LOCAL]
MAPPING( "Animation"="Cat"[DATASET="graphdataset"] "x"="X"[DATASET="graphdataset"]
"y"="Y"[DATASET="graphdataset"]))
VIZSTYLESHEET="Traditional"[LOCATION=LOCAL]
LABEL='SCATTERPLOT: X-Y'
DEFAULTTEMPLATE=NO.
***************************************************.