I would be inclined to say yes without smashing your dreams. But in life it's always worth having a plan B. your thought process already sounds incorrect along with your user name.
But to give you a glimpse of hope here's an extract from Arthur Rubinsteins wikipage.
In 1934, the pianist, who stated he neglected his technique in his early years, relying instead on natural talent, withdrew from concert life for several months of intensive study and practice.
Being born in 1887, that would make him what 43? Regardless of being a child prodigy and already a successful concert pianist, it seems Rubinstein admits "talent" (that lucky roll of the dice where you seem to either 'get it' or 'dont' first time) wasn't enough.
Note that he made it to Carnegie Hall at the age of 19 and so spent 24 years touring and performing before actually re-evaluating his ability.
I think that demonstrates 2 points -
The first being, I think you have to consider what the term "professional" actually means. Is it performing at the biggest concerts? Is it being paid for your playing? Is it having your own Wiki page?
Or is it merely a performance of a collection of pieces that are well received by the public?
It doesn't prove perfection or without fault, or 100% technique. I don't think you can aim to be a great pianist and also aim to be professional, because they are two different things. Not every great pianist is on stage and not every performer is a great pianist.
Second, hypothetically if somebody gave you the full guide to becoming the best pianist, with the best will in the world the book would probably span earth a couple of times and contain too much information to digest in a life time. That is to set your goal from the start to be at the very top, it is unlikely you can have a realistic study plan to get you there.
Now I don't know your ability, but the reality is you're a late starter, not lost, but far behind the "prime" age in which you were able to absorb and retain information. Rubinstein for example was suggested to have perfect pitch at the age of 2. Luckily it seems you were exposed to music at a young age and that will be a big advantage.
I think at this still early stage you should be setting yourself small manageable goals and measure your progress to see how far you've come rather than worry about where you're getting too.
Whether your aim is to learn a scale, improve your double 3rds, practice trills, or even study a composer, have digestable goals to ensure you are improving.
Learning the piano, whilst requiring hard work for the real progress, shouldn't feel like hard work if you are managing a smart workload and in the right mindset.
There is tonnes of information in these forums, other users in your position, don't be discouraged, but don't be delusional either.
Topic: Am I too old?