In your experience, does someone with a physics degree have a chance of getting into the field in analysis/equation design, etc? Any advice or information would be greatly appreciated

Absolutely. Your skills are very applicable to programming, specifically the problem solving and mathematics aspects. You will be able to understand systems and implement solutions more creatively than the average CS student. In the UK, adverts for programming positions always request either Physics, Mathematics or Computer Science degree.

You will have no problem getting interviews if you sell yourself well, but the difficulty is that your programming skills are likely not up to scratch. So you will want to develop a portfolio of interesting programming projects you have completed. This will give you the skills and experience required to pass the interview and test stages.