Invited to several aspects of wedding but not going, do we still do a gift?

We were invited to the wedding of a friend's child (we are not friends with the child nor does she even know who we are, plus we haven't seen the parents in a long time either. Now we're being invited to the engagement party, bridal shower, and wedding and I want to know if we're expected to give gifts even though we aren't attending? The wedding is also out of town over a holiday weekend so we can't afford the flight/hotel or time off work.