Not necessarily.
Have you tried to do a corresponding SELECT-Query to what your DBGrid etc. are doing?
Please note the date/time-Functions of SQLite linked in that chapter. There are functions to reformat Julian-Dates, UNIXTIME etc.
What i mean is: Try to write a SELECT-Query using those Date/Time-Functions of SQLite until you get the same result as with your DBGrid.
That way, you will know if it's Julian-Dates, UNIXTIME or whatever in your DB as raw data.
Then you'll know how to reformat your NOW-Function when inserting into the recordset