Depends a lot on how it would be done. Finland had been looking for a way out for quite a while. However no real options existed as the Soviets simply could not be trusted. Western intervention would have resolved a lot but then both the Soviets (out of spite and imperialism) and the Nazis (out of revenge) could have taken reprisals against Finland.
Then there is this: Uuden tutkimuksen mukaan Suomi pyysi Yhdysvaltain miehitystä vuonna 1943 saadakseen rauhan ja Yhdysvallat jopa harkitsi asiaa | Yle Uutiset | yle.fi ~ According to a new research Finland requested to be occupied by the USA in 1943 and the USA even considered it.
Main research paper: The Problem of the Finnish Separate Peace, US Initiatives, and the Second Front in 1943 | Faravid – Historian ja arkeologian tutkimuksen aikakauskirja “The Problem of the Finnish Separate Peace, US Initiatives, and the Second Front in 1943”
However as it seen that the German troops withdrawing from the Norway would end up in the Germany or France and that starting such an operation would give hard lessons to the Germans on how to defend it was perceived that even trying it would have jeopardized the Operation Overlord. For the Allies it was better to have more Germans in Norway.
There was also the problem with the Soviets. The USA was not sure if the Soviets tried to roll over into Finland despite of the potential US occupation.
There are more studies which kind of touch the subject a bit like (in Finnish so reader beware):
https://helda.helsinki.fi/handle/10138/136171?show=full