Yes, you can use the pavement Westbound all the way between Chelsea Bridge and Lots Road.
Look for the little blue "pedestrians and cycles" sign here:-
http://goo.gl/maps/i5QOX http://goo.gl/maps/K2z6d http://goo.gl/maps/vJ6tu
as that means it's shared use (and pedestrians have priority).
@Greenbank started
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Yes, you can use the pavement Westbound all the way between Chelsea Bridge and Lots Road.
Look for the little blue "pedestrians and cycles" sign here:-
http://goo.gl/maps/i5QOX
http://goo.gl/maps/K2z6d
http://goo.gl/maps/vJ6tu
as that means it's shared use (and pedestrians have priority).