Can drinking/consuming fluoride every day lead to hypocalcemia?

No: Assuming you are referring to the Fluoride in drinking water, which is typically about 2 parts per million, there is no risk of hypocalcemia or decrease in calcium uptake. Fluoride in the drinking water is absolutely beneficial to those in the tooth formative years (birth to about age 13) and harmless and probably non-beneficial to others.

Yes in Excess: If you take toxic amounts of Fluoride it is possible but not in the much safer lower doses in most commercial toothpaste and mouthwash products. As long as you expectorate them(spit them out) and don't swallow them.

No: Drinking/consuming the normal amount of Fluoride we are exposed to in water, toothpaste and food will not cause hypocalcemia. Consuming excessive amounts of Fluoride (more then 3x normal dosage) over several years can lead to skeletal fluorosis. Only 4 cases have been reported in the entire usa in the last 60 years. You do not have to worry about this.