Absolutely. Even just a random email, checking in, letting you know you're in her thoughts, even rambling on about her own daily stuff, just keep you in her thoughts and apprised as to what's been going on, tells you that they care.
There was a program years ago -- Bill Clinton was a big supporter -- that paired American women with women in the war-torn Baltic States after the fall of the Soviet bloc. Basically, you send the program $20 a month, they keep $2 for administrative costs (which isn't bad, really), and $18 *cash* was given to the woman you were paired with, just to help her out a bit, but the main part of the program was, you were to write letters talking about your life. THey were women with lives like ours -- jobs, cars, kids in college -- and then war took much of it away, they didn't need to talk about their own lives -- they had their own family and friends to do that with. They wanted to be reminded about the mundane aspects of life. They wanted to know how your college course was going, how your vegetable garden was doing, how your kid's band recital went, etc. Take them back to the life they had before the war, so they could look forward to those kinds of days again.
Good program that I was a little too young/broke to get involved with at the time.
Life goes on, and sometimes, it's nice to have a reminder of that fact.
In a completely unrelated topic, our CEO just berated me for calling him Dude in an IM. Apparently I am a smidge too comfortable sometimes. He doesn't appear to like Your Grace much better though. Oh well.