There is an option to check constraints on the OleDbDestination component. cancel it and it will ignore foreign keys.
I really dislike this option, so I suggest two other ways:
1) Always copy the tables in the "reverse" order of the key. For example, if you have a key from A to B, first copy table B and then table A
2) use Exec SQL Task to disable foreign keys using NOCHECK CONSTRAINT (example here ) before copying, and another to include after copy
Diego source share