No, a church corporation cannot be changed to a trust. A church corporation can be dissolved. A trust relationship can be established by a church.
A corporation is created by man’s law at the request of a church to the secretary of state in the state the church applies for incorporation.
The common law trust relationship has come down through time immemorial and was not the creation of man’s law. A church who establishes such a relationship actually organizes the church according to Bible principle. I explain more about this relationship in the following articles:
Churches under Christ Ministry Website: Understanding and Applying God's Principles for Church Headship "Would to God ye could bear with me a little in my folly: and indeed bear with me. For I am jealous over you with godly jealousy: for I have espoused you to one husband, that I may present you as a chaste virgin to Christ. But I fear, lest by any means, as the serpent beguiled Eve through his subtilty, so your minds should be corrupted from the simplicity that is in Christ" (2 Corinthians 11:1-3). ————————————This Ministry is under the authority of Charity Baptist Tabernacle of Amarillo, Texas. Jerald Finney, a Christian Lawyer and member of Charity Baptist Tabernacle, having received this ministry in the Lord, explains how a church in America can remain under the Lord Jesus Christ and Him only. "As every man hath received the gift, even so minister the same one to another, as good stewards of the manifold grace of God. If any man speak, let him speak as the oracles of God; if any man minister, let him do it as of the ability which God giveth: that God in all things may be glorified through Jesus Christ, to whom be praise and dominion for ever and ever. Amen" (1 Peter 4:10-11; See also, Ephesians 4::1-16 and 1 Corinthians 12:1-25). "Take heed to the ministry which thou hast received in the Lord, that thou fulfil it" (Colossians 4:17). "And hath put all things under his feet, and gave him to be the head over all things to the church" (Ephesians 1.22; See also, e.g. Colossians 1:18).