Yes, as long as the method makes sense. PROC TIMESERIES does a good job at this. What is the algorithm you want to use to fill in the earlier values?
See the SAS PROC TIMESERIES documentation for the options, under the ID statement and SETMISSING.
They include:
MISSING
Missing values are set to missing. This is the default option.
AVERAGE | AVG
Missing values are set to the accumulated average value.
MINIMUM | MIN
Missing values are set to the accumulated minimum value.
MEDIAN | MED
Missing values are set to the accumulated median value.
MAXIMUM | MAX
Missing values are set to the accumulated maximum value.
FIRST
Missing values are set to the accumulated first nonmissing value.
LAST
Missing values are set to the accumulated last nonmissing value.
PREVIOUS | PREV
Missing values are set to the previous period’s accumulated nonmissing value. Missing values at the beginning of the accumulated series remain missing.
NEXT
Missing values are set to the next period’s accumulated nonmissing value. Missing values at the end of the accumulated series remain missing.
http://support.sas.com/documentation/cdl/en/etsug/66840/HTML/default/viewer.htm#etsug_timeseries_syn...