According to their oversubscription criteria they can take children who don't live in a named parish, but only if there are places left after allocating from within the parishes.
As far as I'm aware they are always oversubscribed and easily fill their places within the parishes.So I think it's unlikely, but not impossible and can vary from year to year.
I would certainly give it a try if you like the school.
Entry is through the Kent age 11 assessment procedure. When the school is oversubscribed (the School’s Planned Admission Number is 175), the following oversubscription criteria will be used in the order shown:
1. Qualifying children who are looked after children.
2. Children resident in one of the parishes listed below, with a combined score of 390 or more, in order of (a) siblings and (b) those living the shortest distance from the school.
3. Other qualifying children resident in one of the listed parishes, in the order of (a) siblings and (b) those living the shortest distance from the school.
4. Other qualifying children, in the order of (a) siblings and (b) those living the shortest distance from the school.
The parishes in question are those of Addington, Aylesford (South), Barming, Bearsted, Bicknor, Birling, Borough Green, Boughton Malherbe, Boughton Monchelsea, Boxley, Bredhurst, Broomfield and Kingswood, Burham, Chart Sutton, Collier Street, Coxheath, Detling, Ditton, Downswood, East Farleigh, East Malling and Larkfield, East Sutton, Eccles, Frinsted, Harrietsham, Headcorn, Hollingborne, Hucking, Hunton, Ightham, Kings Hill, Langley, Leeds, Lenham (includes Lenham Heath), Leybourne, Linton, Loose, Maidstone, Marden, Mereworth, Nettlestead, Offham, Otham, Platt, Ryarsh, Snodland, Stansted, Staplehurst, Stockbury, Sutton Valence, Teston, Thurnham, Tovil, Trottiscliffe, Ulcombe, Wateringbury, West Farleigh, West Malling, West Peckham, Wichling, Wormshill, Wrotham, Wouldham, Yalding (includes Laddingford). See the note about transport below.