I don't think your results should be way off base, but just a little less accurate without the funnel-tip on the syringe.
Regardless of whether the funnel is on or off when the reagent is drawn into the syringe, 1mL of reagent is pulled in. With the funnel on, there is air in the funnel that gets drawn in along with the reagent (because the plunger can't go down to the tip of the funnel, so the air pocket forms), but you still titrate using 1mL of reagent. Without the funnel, 1mL would still be drawn in, but without the small tip of the funnel, the titration drops would be bigger and therefore you would not be able to measure the calcium level as accurately as you would with the tip on.