It’s safe to increase the size of your varchar column. You won’t corrupt your data.
If it helps your peace of mind, keep in mind, you can always run a database backup before altering your data structures.
By the way, correct syntax is:
ALTER TABLE table_name MODIFY col_name VARCHAR(10000)
Also, if the column previously allowed/did not allow nulls, you should add the appropriate syntax to the end of the alter table statement, after the column type.