Common languages among certain professions are already being used and have been for a long time.
Up through the early-mid 19th century, Latin was THE STANDARD language for Law, Religion, Science, etc.
Unfortunately, it also created an intellectual class that was out of touch with most people.
Yet even today, professions have their own “lingua franca”.
Would a common language for all humanity work? Well, the Internet is a good example that *seems* to have the common language of English.
Most programming language are also in English.
Yet, not all. Also, we tend to hang around the part of the Internet that speaks our language, so if you are an English speaker/writer it’s unlikely you will hang around qq or other sites that don’t cater to your language, so you’ll have a confirmation bias.
Is it possible? Of course. But likely? I don’t think it is. Common languages for particular purposes will continue to happen as they already have, but everyday language will continue to evolve, change and grow as people use them and change them.