Ah, that’s what you mean. Yes, Lutherans can and do anoint with oil, as other posters have noted.
I checked through the Pastoral Care Companion that was published by CPH (the publishing arm of the LCMS). This little book is used by virtually all pastors, and often given to elders as well - it contains a few brief liturgies, Baptism in cases of emergencies, Commendation of the Dying, etc. The condensed version of the Rite of Commendation of the Dying doesn’t specifically include the use of oil, but it seems to be a not-uncommon practice. Again, since it’s not a Sacrament, there is permissible variation.
Most confirmations I’ve watched also use anointing oil.