Travelling north, the first is about 40 miles out where linespeed is 125mph, where there's 3 at Arlesey, 1 at Biggleswade and 2 at Sandy.
Then there's 2 between St Neots & Huntingdon (plus 2 footpath LCs) , followed by 4 on the 125mph lines north of Huntingdon (a footpath at Abbots Rippon, LC at Connington North and 2 at Holme), then none for the 10 miles to Peterborough.
After Peterborough there's 7 LCs on the 125mph lines, the first is Woodcroft followed by 6 more before the 10 mile clear run up Stoke Bank.
None through Grantham between Stoke Tunnel and Peascliff Tunnel.
North of Grantham, where linespeed is back up to 125, there are 3 footpath LCs then Claypole, Osterfern, and 4 on the approach to Newark. 100mph over Newark flat (rail) crossing, then back to 125 and 7 more LCs plus 3 footpath LCs before Askham Tunnel. Another LC plus a footpath on the approach to Retford. 5 more plus a footpath before Bawtry. One more at Rossington.
Then north of Donny, there's 3 and a footpath between Marshgate junction and Shaftholme junction. 9 more before Templehurst junct. 1 at Colton North junct and another at Copmanthorpe on the way into York.
On the 125mph lines between York and Darlington there's 4 (1 is a footpath n of Skelton, 2 are agric. tracks, just north of Thirsk and last is 2 miles before Northallerton).
North of Darlo there's just one at Tursdale Junction and none at all between Durham & Newcastle.
North of Newcastle, there's an LCs plus 2 footpaths at Killingworth and another one a little further out. There's 2 on the approach to Morpeth and 1 just to the north of Morpeth Stn. between the 2 junctions.
Between Morpeth and Berwick there are a staggering 25 LCs plus another 15 footpath crossings!
None from there 'till Dunbar after which there's 3 before Prestonpans and that's your lot all the way to Edinburgh!
(This list includes locked bridleways and private crossings).
Or did you just want a yes/no answer?