Yep, white spirit should be ok for thinning most laquers, but try it out first, as 'shellac' type laquers might separate.
Ooops, just realised, I think you meant is 'laquer thinner' white spirit? Answer - probably. Turpentine as such hasn't really been sold for many years, with white spirit, often just labeled as 'thinners', having more or less replaced real turpentine, mainly due to cost and availability. There are also safety issues I would think in some countries.
If you buy from one of the large 'sheds', the DIY outlets in most towns and cities across the World, (for example, B&Q in the UK, and I think Wallmart in the US) you'll find it might be under a different name, biut it'll probably be white spirit. I bought a new container two weeks ago - 2 litres for just over £3, as opposed to the same price for 500ml of Humbrol Thinners.
OK, 'proper' thinners is better, in as much as it's more refined, and 'kinder' to artists brushes over a prolonged period but, to an extent, it's a bit like using a Rolls Royce to go to the local store, when a VW would do the job just as well, at much less overall cost!