do you mean if you leave it plugged in for a month? yes
But I dont recommend leaving USB, nor regular chargers, plugged in for a month
Li-ion self-discharges about 5 percent in the first 24 hours and then loses 1–2 percent per month; the protection circuit adds another 3 percent per month.
I agree, when my USB charger decides the battery is full it drops to zero, and I unplug it when that happens.
I do not leave batteries on any kind of charger indefinitely.

charging looks like this:

the top numbers gets smaller as the battery fills up
