No, starting from beetle eggs does not count. They point is no one knows how to start from the inert chemicals that make up a beetle and cause them to assemble into a living beetle. More generally, abiogenesis has not been cracked.
We do, however, know pretty much roughly how a beetle grows, how cells and DNA work, cell division, hell, even atoms, and their constituents. Even if we can't replicate it 100% yet.
Is your God one of hundreds of thousands that have been forgotten? Or do you just happen to follow one of the modern trendy ones? Is it Thor? Athena? Xerxes? Why is yours so special compared to the 99,999 that have been discarded?
There have been succesfull experiments with xeno-pregnancies aka interspecific pregnancy. https://en.wikipedia.org/wiki/Interspecific_pregnancy#:~:tex....
With current technology, we very much do indeed experiment with DNA of animals.
As for making DNA from raw materials, that is what DNA printers to. see https://en.wikipedia.org/wiki/Artificial_gene_synthesis