Question

is it possible to swap primary key values between two datasets? If so, how would one do that?

Answer 1

Let’s for the sake of simplicity assume you have two records

id   name
---------
1    john

id   name
---------
2    jim

both from table t (but they can come from different tables)

You could do

UPDATE t, t as t2
SET t.id = t2.id, t2.id = t.id
WHERE t.id = 1 AND t2.id = 2

Note:
Updating primary keys has other side effects and maybe the preferred approach would be to leave the primary keys as they are and swap the values of all the other columns.

Caveat:
The reason why the t.id = t2.id, t2.id = t.id works is because in SQL the update happens on a transaction level. The t.id is not variable and = is not assignment. You could interpret it as “set t.id to the value t2.id had before the effect of the query, set t2.id to the value t.id had before the effect of the query”. However, some databases might not do proper isolation, see this question for example (however, running above query, which is probably considered multi table update, behaved according to the standard in mysql).