I don't see a Trinity in that passage. Remember your Trinity definition and look for yourself. Where is "Father, Son, and Holy Ghost?" Here, with additional context just for clarity, and I'll add some coloring too:
2 Corinthians 13:11-14 KJV
(11) Finally, brethren, farewell. Be perfect, be of good comfort, be of one mind, live in peace; and the God of love and peace shall be with you.
(12) Greet one another with an holy kiss.
(13) All the saints salute you.
(14) The grace of the Lord Jesus Christ, and the love of God, and the communion of the Holy Ghost, be with you all. Amen. The second epistle to the Corinthians was written from Philippi, a city of Macedonia, by Titus and Lucas.
Where's the blue?
If we are interpreting this passage with the assumption of "Trinity" then we know that "God" is not the same as the person of "Father" when listed in the context of Son and Holy Spirit. Trinity doctrine demands that one be specific and not confuse the persons, and insists that "God" is three persons. In Trinity context, that passage gives one person, the Trinity of three persons, and one person again. One of the persons was not named.
If we are interpreting this passage with my understanding that that the risen Jesus both Lord and God, then the grace of the Lord Jesus Christ and the love of God are synonyms, two different ways of saying the same thing.
So no, I don't see Paul speaking like a Trinitarian in that passage.