By selecting sex cells after meiosis, would it be possible to create two offspring with inverse parental DNA of one another?
Theoretically? Yes. Very theoretically possible.
In practice? It's difficult to isolate the exact daughter cells (sperm) from the same meiotic event, have these cells complete maturation, and only then have them fertilize an egg. Normally you need quite a lot of sperm cells even with in vitro fertilization, but also in principle all you need would be a single sperm cell to make a zygote!
To address some misconception: when you say &quot;inherited from both parents but completely different&quot;, that applies also for regular sex cells and fertilized eggs. You don't need to fish for the precise 2 daughter cells following meiosis to get this outcome. Mitosis produces 2 genetic copies, while meiosis in humans produces 4 unique daughter cells. All individuals, as diploid as we are as humans, are products of genomes that have been very well shuffled (recombined).
Reality: the real-life reasons to perform such a procedure would be taken as very dubious, so I don't think realistically anyone would perform this. But in the designer baby era of the future, who knows!