I would have to say no.
early record lathes were made in an era where there was only 78 RPM recording.
thats why you find a lot of suitcase cutters that only go 78.
after that, pro and semi pro lathes often went 33 and 78.
and when 45 RPM was introduced, it was simply an addition to the existing speeds.
I know that the Presto lathes can be adapted to go 45 instead of 33, etc.
each company had their own adaptation, but I am not sure if any company had only a 45rpm lathe.
Your best bet would be (depending on how deep you want to get into this):
-buy a suitcase cutter and modify it's speed (very very lo fi results)
-buy a semi-pro cutter (presto/rek o cut/etc)
-buy a modern dub cutter model and attach it to a Technics 1200 turntable.
as always, check the WIKI: http://lathetrolls.pbworks.com/w/page/22959575/The%20Secret%20Society%20of%20Lathe%20Trolls