No. The ball which is thrown horizontally from the top of a tower of height $H$ will attain a velocity of \[v_R^2=v_H^2+v_V^2=v_H^2+2gH\]
And, the ball which is simply dropped from the same height will attain the final velocity of \[v^2=2gH\]
Because of the factor $v_H,$ the ball thrown horizontally will strike the ground with more velocity.
[Read: Projectile Fired Horizontally from the Top of a Tower]
