I see nothing in the PROC GENMOD documentation that indicates it is appropriate for Time Series analysis.
I suppose you can use PROC GENMOD and ignore the time-series correlations which might be present in your data. You can put any data you want into GENMOD and get an answer. You can use GENMOD to predict, but it may not be meaningful to do so in this situation, and I am not recommending this.
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Paige Miller