Universal in what country? In the US I've had two MRIs in the last few years for non urgent things and both were scheduled within less than a week.
Meanwhile there are imaging labs that can do walk-ins if you're willing to pay cash and they have the slack in their schedule, usually somewhat cheap compared to what they'll bill insurance (and if you have a HDHP, what you'll pay). They don't want those machines idle, a gap in the schedule is money they aren't making.