Does AWS-Lamda support multi-threading?

I am writing an AWS-lambda function that reads past 1-minute data from a DB, converts it to JSON, and then pushes it to a Kafka topic.The lambda will run every 1 minute.So if a scenario comes like this:at t1, a lambda process is invoked let's say P1, it is reading data from t1 to t1-1.at t2, if P1 is not finished then will a new lambda process will be invoked or we will wait for P1 to finish so that we can invoke another process?I understand that lambda support up to 1000 parallel processes in a region but in this situation, the lambda function will already be running in a process.