You shouldn't have any issues getting accomodation, when my sister was studying here in 2022 the uni was massively undersubscribed for accomodation and had been for the last 3 years cos most students are local and commute onto campus. So if you really want a particular type of accomodation (or need special accomodation due to disability) then it doesn't do any harm to get an application in early but if its a bit late don't sweat it.