If you mean there will be very few cases of babies born in the country to non-US citizens if illegal immigration is eliminated, then yes.Doesn't the birthright citizenship issue largely go away if illegal immigration is stopped?
Regardless, the "issue" always remains that it seems quite illogical for children of illegal immigrants who happen to be born on US soil to automatically be granted citizenship. I happen to believe this was not the intent of the 14th Amendment. Others have a different interpretation. It's something that needs to be resolved by SCOTUS and/or a further constitutional amendment.
And given that there is only so much that can be done to physically patrol the border, it seems logical that removing the incentive to drop anchor babies on US soil would assist in preventing illegal immigration.