Yes, absolutely you can. Look at all the building societies and the mortgage terms - they will all be different, and some will offer preferential rates for first time buyers. Shop around. I've just come to the end of a good 3-year rate - so I wouldn't plan to stay with the same mortgage provider, I might well swap to somewhere else with a good offer.
Depending on how old you are, too, you can have a long duration mortgage - it no longer has to be 25 years only. The longer the mortgage, the longer it takes to pay off, but it can bring down your monthly payments.
If you are a nurse in the NHS (as your username may suggest), don't forget to look at the Health Service Discounts site, too - there can be some good deals on there, both for buying things for your home and for other spending, too.