For most venomous arthropods, the answer is no, unless the person had an allergic reaction. Children, the elderly and those with high blood pressure are more susceptible to the venom. If its fangs were removed, the spider could no longer eat and would starve to death. All spiders have venom.
Most tarantulas are relatively harmless, with venom equivalent to a bee sting.
There are a few that are more serious, but none are deadly unless you are allergic. It will only bite if provoked. The males are generally thinner in the body and have longer legs.