I work in a great company that I have been with for almost a year, unfortunately, although things are going great in my current role, I have no room for growth currently.
The field I am interested in is one that is a little difficult to get into, but I have the relevant skills and academic background, my problem is that they want me to have 1-3 years of experience for Junior roles, which I cannot get without a relevant job.
I am an analyst and interested in data science analytics (not quite PhD level but still programming and mathematically based analytics, which is what I studied in college).
I went to an interview for a relevant position that in the past people from my team moved to with no experience, or were brought into from outside if they showed enthusiasm and intelligence, but now even though I passed all the new difficult tests, built models, and showed mastery of the relevant skills they just want someone with more experience who can do it faster and more succinctly... the only people that passed to the second stage of interviews have doctoral degrees.
I want to stay here, but even if I don't, it'll take me a very long time to get an opportunity outside of the company in a relevant field.
Is there a way to ask to participate in their projects or do other things? It wouldn't affect my time on my team or my work, but I am not sure how open they are to the idea of creating an internship style role and I do not want to make issues for myself.