I'd say you have a chance, because I got accepted to several applied math PhD program with a BS in engineering (this was the US. I don't know about programs in other countries).
I will tell you about my situation in case it helps you.
To supplement what math courses I had taken in undergrad (just the calc sequence and ODEs), I took intro to proofs, linear algebra, a year of real analysis, and a year of abstract algebra. After I had applied, I heard from several schools that abstract algebra wasn't necessary for applied math. I got an A in every math course, and I had a few non-math research publications. I made sure one of my letters of rec was from a math professor. A few schools that I applied to expressed concern that I did not major in math, but still accepted me. I got into everywhere I applied.
In grad school I was the only non-math major in my courses. I had a hard time catching up at first. I had to take an extra year to do my coursework. But now I'm all caught up and doing research that I love and I'm very happy that I applied.
I wish you the best of luck!!