Indeed. The report of the first move from the Liverpool Daily Post of 28 May 1860 makes it clear that the original L&Y station was on the same side of the road as the LNW station:
New Railway Station at Wigan.The Lancashire and Yorkshire Railway new passenger station at Wigan, which has beec in course of erection during the past winter, and which has also been patiently waited for by the inhabitants for many years, was opened on Saturday, the whole of the officials of the company then taking up their quarters in the new building. There were no formal proceedings connected with the opening, but a number of fog signals were placed in the track of each of the early trains, so that as it approached the station it fired a salute in honour of the occasion. The new building is situated about 200 yards from the Wallgate, on the opposite side of the road to that on which stands the hovel, which until now has done duty for a station. It is about 70 yards in length, in front being a spacious covered platform. On the opposite side of the line, however, there is not a shed of any description to shelter the passengers from the inclemency of the weather, an omission which it is hoped the company will soon rectify. The rooms are all very spacious, and they are fitted up in the usual manner."
The present station, a little to the east of the 1860 one, was opened in February 1896.