I would have thought you should be okay.

The scripts are used by a large number of hosted scripts that involve images.

GD will need to be version 2 rather than version 1, and ImageMagick will need to be a recent version.

It is possible, I beleive, to install ImageMagick without access to the root as long as you have SSH - but check first to see if your hosts will install either or both - and decent company should not object.