The answer is yes, if, prior to death, the Trustmaker has completely funded the trust with their assets that would otherwise require probate.
What are assets that would otherwise require probate? These include anything titled in the Trustmaker's sole name, without any other owners or any payable on death designation. It also includes assets owned by the Trustmaker with others as a tenant in common that haven't been funded into the Trustmaker's trust.
It doesn't include life insurance and retirement accounts, including IRAs, 401(k)s and annuities, as long as at least one designated beneficiary of the insurance policy or retirement account survives the Trustmaker. But if there aren't any surviving beneficiaries, then the policy or account will become an asset that requires probate.