These guys seem to think so.
A group of Norwegian surfers are on a mission to create the most ecological surfboard of all time - a surfboard made of ice. In this trailer for a yet to be made movie on the project the surfers describe the trials and tribulations of perfecting their craft I.e. board melting before they can catch a wave, too heavy to paddle etc.
Not to be deterred they are convinced they can get it to work, after all they’ve also made completely skateable halfpipes out of frozen sand!
If this rubs you the right way you can help bring the project to fruition by donating to the film’s production costs here.