I have a nudging suspicion that it does...
No, catches in succession do not influence the catch rate.
Each species of Pokémon has a catch rate that applies to all its members. When a Poké Ball is thrown at a wild Pokémon, the game uses that Pokémon's catch rate in a formula to determine the chances of catching that Pokémon. Higher catch rates mean that the Pokémon is easier to catch, up to a maximum of 255. The formula also takes into account the following factors: - The health of the Pokémon (relative to its full health) - The type of Poké Ball - Any status condition of the wild Pokémon - Any active Pass Powers (in Generation V), O-Powers (in Generation VI), or Rotom Powers (in Pokémon Ultra Sun and Ultra Moon)
Certain other factors, such as the target Pokémon's level, may also factor in depending on the type of Poké Ball used or the generation.
None of these factors are thrown balls in succession. Hope I helped! Catch Rate Bulbapedia
No,it's not.
edit : seems like I was wrong
http://bulbapedia.bulbagarden.net/wiki/Catch_rate
it appears that it increase chances every time you throw a ball
I apologize for the confusion