No, it just means that the parties switched labels. What the republic party stands for today bears little relation to the party of Lincoln.
https://www.google.nl/amp/s/www.history.com/.amp/news/how-th...
In the 1930’s the Democrats were the party of segregationists (clearly not a left wing position), but also the party of FDR expansion of social programs (clearly a left wing position).
In Europe a significant proportion of the right are Christian democrats of various flavours who consider some degree of state welfare to be moral duty, and/or other non-free market conservatives, to the point where the US style right are considered extremists many places.