No

It would appear that in universe they don't make it clear as to which dragon is which. In fact the show only appears to mention their names twice throughout all the seasons. The first is when Daenerys visits her dragons where she had locked them up but no indication is made to which is which.

Daenerys Targaryen: Viserion? Rhaegal?
_{Game of Thrones, Season 5 Episode 1, "The Wars to Come"}

The second time is when her and Jon meet on Dragonstone and she tells him about the reasoning behind their names. Again no mention is made to which is which.

Jon Snow: Amazing thing to see.
Daenerys Targaryen: I named them for my brothers Viserys and Rhaegar. They're both gone now.
_{Game of Thrones, Season 7 Episode 3, "Queen's Justice"}