Yes. We can install ImageMagick on any/all servers upon request, and most of our servers already have ImageMagick installed.
While the location of the ImageMagick binaries can vary from server to server on most of our newer servers convert, mogrify and the other ImageMagick binaries will be found in the path /usr/bin and on many of our older servers they will be found in /usr/local/bin.
If you have shell access (SSH access is available upon request via a trouble ticket) an easy way to identify the presence and location of ImageMagick would be to type which convert at a shell prompt. If you don't have a shell account (or if you prefer) please feel free to submit a trouble ticket and we'll be happy to let you know the path to the ImageMagick binaries on your particular server.