We had an (very karge) Ikea kitchen fitted 9 years ago by our builders who had no problems doing so. My late husband (architect) designed it along with the Ikea kitchen designer. It had umpteen drawers - so much easier for storage than grovelling into low cupboards - plus high level cupboards, and included 2 full height fridge freezers, oven, microwave oven, warming drawer, induction hob, dishwasher and fan. All this, on an offer and then 10% off the total, came to less than £10,000 which was considerably lower than any other quote we had. It was an amazing kitchen, much admired by friends who couldn't believe it was Ikea! How I miss it now I've downsized. I'm seriously considering refitting my new small kitchen with a mini version!
I'd certainly recommend you go down this route, but get a recommended fitter.