Victoria Station-London
 

Is Victoria Station within walking distance from High Kensington Station? If so, about how far is it?

Depends how fast you walk.

I could do it in just over half an hour but m_kingdom, who also posts about London on this board, would take double that.

Most people would take the tube or a bus or taxi.

It's a long hike, round the back of the Palace, up to Hyde Park Corner and left alongside or inside the park.

Streetmap.co.uk would give you an idea of the distance, and
journeyplanner.tfl.gov.uk will give all the alternatives by public transport.

As the crow flies it is approx 2.25 miles and there is no straight route so I'd guess about 2.75 miles on foot.

Walkable, sure - a quick jaunt, no.

Well I wouldn't walk it - I'd go on the circle line (no changes required).