I could say I haven't had time to keep up with all the stuff happening in my feed, but that wouldn't be exactly true. I've had the same amount (sort of) of time as always. What I've not had was energy. I think that what people usually mean when they say they haven't had time to do something they generally enjoy doing.
I could generalize to to all cases but there are a lot of situations where the genuinely isn't enough time. In the case of things we want to do, we tend to carve out time for them. Not having that time would imply a lack of energy for that carving. Without the power to carve, one probably lacks the power to do.
That's where I'