Yes, of course you can go to the bank and ask this. Once you've asked, then you'll know the answer.
Maybe the question you should be asking here is 'Will my bank lend me money to buy a house to renovate and then sell?'. People borrow money all the time to buy property that they then sell, whether its a buy to let or as a development. It will surely depend on your credit rating, whether the property is worth the purchase price and whether the bank think they'll get their money back. If you present a good business case then they may be interested in helping but mortgages aren't so easy to come by these days.
I'd guess, given the question, that you don't have any experience of this which, in the current economic climate, will probably go against you.