I'm on a zero hr contract. Can I still get a mortgage?

Iv been renting for 2 years now and I'm paying way more than I would if I had a mortgage on my own place. So I can easily afford it. Iv got £15,000 as a deposit and iv been in the same job for 7 years. The only problem I have is even tho iv had over 35hrs every week from when iv started I'm on a zero hr contract. Will this prevent me from getting a mortgage

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