Just as an aside, the Practitioner's course is of little real world value. Foundation tells you the basics, Manager's proves you can talk about it, a few year's real world experience means you understand it and can apply it. ITIL is a holisitic solution so how can you be an expert in a tenth of it? Your money, of course, but I would go straight to Managers certificate myself.
Anyway, yes, YourCo can pay for any training, however if it is not directly in your line of work you treat it as a BIK on your SA form and pay the tax - it still means you pay a lot less for it. However if you are anything to do with service delivery, support, or change management, anything ITIL-related is clearly in your line of work.
Of course, inside IR35 none of that matters anyway. You're not, are you....