I can see how you might think of crossing over as being a mutation since it involves DNA breaks and changing the overall sequence, but as
@Ygggdrasil, the term is not used that way.
At first I thought you were talking about two new mutations occurring at the same time which is highly unlikely since the probability of such a combination would be the probability of a mutation in one particular gene times the probability of a mutation in the other gene, which would be very improbably.
Synthetic lethals might be something like the idea you are trying to express.
They occur when two different alleles of two different genes come together in a single organism. This combination of alleles could be lethal (or just deleterious in less extreme cases) while the individual alleles themselves would not be.
These alleles could be either dominant or recessive in their synthetic effect (meaning you need only one or both copies of one of the alleles to be present to result in the synthetic effect).
The is an effect much like
enhancers and suppressors have on other genes. Some enhancers can enhance the effects of another gene to the extent that it can cause lethality. These should not be confused with the enhancer sequences of molecular biology which thought to bind proteins and exist fairly near the gene they are affecting. Enhancer and suppressor mutations can be completely different genes.
If the two interacting genes are linked on a chromosome (they are physically linked by both being on the same piece DNA), they can not both be homozygous (both copies of a given gene the same) which is required for expression of recessive traits, unless recombination happens. After recombination, double homozygotes (or a homozygote and a heterozygotes would be possible for linked alleles,
in the next generation.
There would be selection against this because lethality or other deleterious effects are non-adaptive.
This is independent of the source of the alleles involved (not particular to human generated genome changes) and can arise in hybrids or just from crossing between populations that have not had a lot of recent genetic interchange.
If new alleles were human introduced and they interacted with already existing genes to have bad effects, they would also be selected against, not just naturally, but also through human regulation since these effects (if significant) would be noticed and then researched. Certain gene constructs would be no longer made because they did not work well (regulatory agencies might get involved) and genetic consultation (which will develop along with the increased capacity to determine an individual's genome sequence) would advise against particular combinations (
similar to what is being done already).