If you're referring to coin.cls that forms part of the Computational Intelligence group at Dalhousie University's Department of Computer Science, then the solution is fairly straight-forward if you want to keep using algorithm2e: set the \procedure and \endprocedure macros to \relax.

% https://projects.cs.dal.ca/ci/latex/template-files/coin.cls
\documentclass{coin}
\let\procedure\relax
\let\endprocedure\relax
\usepackage[algo2e]{algorithm2e}
\begin{document}
\begin{algorithm2e}[H]
\SetAlgoLined
\KwData{this text}
\KwResult{how to write algorithm with \LaTeX2e }
initialization\;
\While{not at end of this document}{
read current\;
\eIf{understand}{
go to next section\;
current section becomes this one\;
}{
go back to the beginning of current section\;
}
}
\caption{How to write algorithms}
\end{algorithm2e}
\end{document}
So if you're not going use these theorem-like structures, then there shouldn't be any other conflict.
Both the algorithm and procedure environments are predefined inside the coin document class as theorems:
\newtheorem{algorithm}{Algorithm}%[theorem]
%...
\newtheorem{procedure}{Procedure}%[section]
The algorithm environment definition is avoided by using the algo2e option of algorithm2e, which creates an algorithm2e float rather than algorithm.
coin.cls?