No, it’s fully RNG.
Though there might be a rumour about “cursed” characters like in other MMOs 
My dragon (on patron) had issues even with the more common ones, only received Virgil after about 4 years of trying, and to make it worse, only got Ibrahim two weeks ago… 6 years…
In comparison the silly character attempt, which got to 50 without ever leaving Mallgartha, is on a full f2p account, and got Skelly and Virgil by the end of the second month, with Faction Recruit who wasn’t even 50 at that time.
It is pure RNG, Petru or orange agent gear can give you some peace of mind, but even those can’t give you any guarantees.
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