If statistics is dropped on one table then
1)Will it be a case of data lose?
2)Will it take more time when it loads data in next run?
1) No. Dropping stats does not remove any data.
2) It depends, but usually 'No'. If you are loading the table with Fastload/TPT Load/Multiload/TPT Update then No. If the table being loaded is also one of the source tables in an Insert-Select then 'maybe'.