I'm not sure about the lettuce or zucchini because unlike an aquatic plant they won't actually "live" in the water and any uneaten pieces may pollute your water while you're gone, I'll let some one else confirm that
I'm sure you look after your Bettas really well, what I was trying to say was that Bettas have a fast metabolism so more food equals more waste, which is not desirable if you're not going to be around to change the water. However, a large water change before you go sounds good
Oh, BTW welcome to Koko's!