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Hi Susie-
<<“I know it’s possible to walk to Kleine Scheidegg but does that apply to a beginner?”>>
In general, yes.
Here is a description of the easy trail:
http://www.myswissalps.com/hiking/maennlichen-kleinescheidegg
At this time of year, the trail would normally be impassable due to snow.
However, it is one of the select trails that are often groomed for Winter hiking:
http://www.jungfrau.ch/en-gb/winter-hiking/
It may be closed. Snowslide concerns can be an issue.
You can ask at the rail station(s) or tourist information offices.
Or, just go up and and take a look. If the trail is open, it will say so. It may only be open as far as Tschuggen, or not a all. Nice views from up there.
Good luck.
Slowpoke