Not that I’m aware. I believe they’re KJV-exclusive at least in public worship.
There was an overture from the Free Southern Presbytery in 2021 arguing for exclusive use of the KJV. See acts and proceedings 2021:
https://www.freechurchcontinuing.org/general-assembly-acts-proceedings/
The overture stated this:
1. Whereas the Holy Scriptures are the primary Constitutional document of the Free
Church of Scotland (Continuing);
2. Whereas the Westminster Confession of Faith, being a subordinate standard of the Free
Church of Scotland (Continuing), declares that the Old and New Testaments of the Holy
Scriptures being immediately inspired by God, and by his singular care and providence
kept pure in all ages, are therefore authentical, so as in all controversies of religion, the
Church is finally to appeal to them (WCF 1.VIII);
3. Whereas the Directory for the Public Worship of God, being a subordinate standard of
the Free Church of Scotland (Continuing), speaks in its Preface of the endeavours for
uniformity in divine worship, which we have promised in our Solemn League and
Covenant;
4. Whereas the Directory for the Public Worship of God, in reference to the public
reading of the books of Old and New Testament, states that they shall be read in the
vulgar tongue, out of the best allowed translation (Of Public Reading of the Holy
Scriptures);
5. Whereas the regulation of public worship is a fundamental concern of Presbyterian
Church government and a vital means of maintaining the unity of the Church;
6. Whereas the Authorised (King James) Version of the Bible alone fulfils all the above
criteria, and is the best translation available in English;
7. It is overtured by the Free Southern Presbytery that the General Assembly take these
premises into consideration and assert that the Authorised (King James) Version of the
Bible is the only English version of the Holy Scriptures which is currently approved by
the General Assembly for use in public worship within the denomination.
Or do otherwise as in their wisdom may seem best
In the end, this was the conclusion:
The General Assembly receive the Overture from the Free Southern Presbytery anent
Scripture Versions to the extent that they appoint a Special Committee on Scripture
Translation with remit to elucidate the principles of Bible translation consistent with the
Westminster Confession of Faith and other authoritative documents, and maintain a record
of English translations that conform to the said principles, the Committee to consist of two
brethren from within the bounds of each presbytery and to seek advice, as required, from
other reformed denominations with whom the FCC maintains close ecumenical relations,
the Committee to report on their progress to the next General Assembly.
The General Assembly receive the Overture from the Free Southern Presbytery anent
Scripture Versions to the extent that the General Assembly commend the Authorised
(King James) Version of the Holy Scriptures for use in the public worship of God.
Against which finding the following entered their dissent: Rev. Greg MacDonald, Rev.
David S. Fraser
My takeaway from this is that the KJV is commended but the premise of the original overture was not to be taken such that the KJV be the only used version in the denomination for the time being. I don't know if there are any updates from the past two years.
Furthermore, I had tried to track down the official position of the FCC a few years back when I was in it. Our church switched from NKJV to KJV in the time I was there. I believe it was at the direction of the presbytery. I could not find a "TR only" position anywhere in writing, and from the days of the Disruption there were supporters and translators of the Revised Version in the Free Church of Scotland among the ministers. I heard when asking that there was more variation of Bible versions in Scottish churches but our presbytery was then conformed to only use the KJV. I know for sure some churches used the NKJV but I could not find definitively if any used other translations.