No. The rise of liquid in a capillary tube is given as, h = 2S*cosθ/(rρg)
Where S = Surface tension, θ = the angle of contact between the liquid and the wall of the tube, r = radius of the radius of the capillary tube, ρ = density of the liquid and g = acceleration due to gravity. Here given that θ = 90°, hence cosθ = 0.
∴ h = 0.
So the water will not rise in the pure silver capillary tube.