“Can any layperson perform the Seven Sacraments given the correct intent, matter and form?”
Nope. Baptism and Marriage and I think Confession are Sacraments that can be performed absent the Priesthood, under extraordinary circumstances, Extreme Unction, Holy Orders, Confirmation and the Holy Eucharist are reserved to those who have themselves been Ordained, either to the Priesthood or the fullness of the Episcopacy.
And Holy Orders is Ordination, right? When would you have an extraordinary circumstance permitting marriage? I can see for baptism and confession (death bed?).