Are there any ways to increase your chances of capturing a Pokemon?
Solution 1:
Take a look at this article Pokemon GO: 9 Essential Tips, Tricks & Answers To Your Questions
How to capture Pokemon
Use the Item bag to toss Pokeballs or use items (like Razz berries) to make capturing a Pokemon easier. Improved Pokeballs such as Great Balls, Ultra Balls or Master Balls will also improve your chances.
The targeting circle tells you how tough the capture will be. A green circle is best, following by a yellow, orange, and red circle. Yellow circles, in our experience, are a pretty tough capture — orange and red? Wait until you’ve got the right items to make capturing easier.
Wait until the targeting circle is at its smallest before flinging a Pokeball. The smaller the circle, the better your chances of capturing will be.
Solution 2:
Yes, as you progress further into the game you will find Berries which will make it easier for you to catch Pokémon during encounters.