sql server dts: Hello

I am using Copy SQL Server Objects Task to copy tables and data from SQL
server 1 to SQL server2, replacing the tables and data in SQL server2. Is
there a way to automatically check if all the tables I am copying in SQL
server1 have data before copying?

Thanks,

Not automatically. You could use sysindexes to get the data quickly and store
it in a global variable. DBCC UPDATEUSAGE would be run first and this is not
guaranteed to be 100% accurate. Count(*) with nolock hint is an accurate but
more time-consuming alternative.
HTH,