To be clear here, the court will maintain its records, including the names of the parties, but although court records are public records it is unusual for people to do any sort of deep dig to research the content of an old court file.
What is likely to appear on a credit report is a money judgment or judgment of eviction. As it does not appear that there is yet such a judgment, assuming that the issue is now resolved you can probably get the HOA to agree to dismiss the lawsuit as part of a settlement of the case. If the case is dismissed, such that no judgment is entered, there will be no money judgment or judgment of eviction that could appear on your credit report.

