Yes. They tend to be homeless until then and there will always be a stray wanting a warm waiting room with food and drink on tap and treats and cuddles without demand.
Tabitha wasn't a stray though. She lived since she was three months old with her brother and sister (who never wandered from the garden but died a couple of years ago) litter mates, along with a dog, in one of the houses by a fence siding onto the north-bound platform. Her owners said that because she was small she was bullied more by her brother than her sister was and so she increasingly spent her days away from home, at the station since she was about a year old. Initially shy of the people there but quickly becoming sociable with them. She was also welcomed by the cab office next to the station (they even had a bed and scratching post there for her) until it changed hands and the new owner didn't like cats so insisted that the staff kicked her out if she tried to go in there. The station manager and his partner had made sure since then that she always had food (she would call in for breakfast even if she'd already had breakfast at home), water and a bed at the station, though her favourite places were on the platforms when the weather was good, or on people's laps or on top of the station's charity bookstall in the heated waiting room when it was cold.
She had more than her fair share of adventures over her ten years at the station. When she was very young, she jumped on a train and staff at the station (two stops down the line) that she ended up in recognised her and called the station manager at Borough Green & Wrotham to come and collect her. Almost two years ago, she was taken by a girl who had seen her several times wandering around the station and had thought she was a stray. She spent three weeks in the Medway Towns until the girl who had taken her saw a newspaper report about it and realised that wasn't a stray. Then, at the end of September last year, some idiot (caught on CCTV but not a local) thought it would be funny to carry her onto the train and drop her off at another station. It was over two weeks before she was found again. No thanks to the chip that had been implanted in her following her abduction in 2016 as that was found to say that she was a dog living in Liverpool! Please always doublecheck that chips have the right information relating to them. The staff that enter the data are not infallible.
There is word around the village that she was poisoned after she left the station on her last evening on Sunday 14 January and that that is what led to her death the next day from sudden kidney failure. I hope that's not true. If it is, whoever did it does not want to be found out or they will be run out of the place, believe me. She was a little local celeb and so loved by her owners, the station staff, commuters, children from local secondary schools who travelled to them by train, staff at the neighbouring stores and many others in the village that they'd take a detour to the station to see her even on days that they weren't travelling by train.
One week on, she is so missed and unlike the times that she went missing, there isn't the hope that she will be coming back.