Not for that length of time. Unless you can qualify for Tier 1, which seems unlikely based on what you've said https://workpermit.com/immigration/united-kingdom/tier-1-vis...
You can't get a Tier 2 work permit because it must be sponsored by a UK employer. Which means you would have to work for a UK company, again that doesn't fit your circumstances.
You shouldn't work on a tourist visa although it does let you in the country for six months https://workpermit.com/immigration/united-kingdom/uk-standar...
Also without a legal immigration status in the UK you can't rent a property, you might be able to persuade your landlord that a tourist visa was sufficient... https://www.foxtons.co.uk/let/right-to-rent.html