Even if you're well connected and it's a one-off enterprise, can think creatively and have some very generous friends who will take pity buy stuff from you at inflated prices, there's a vanishingly small chance you could achieve this.
The only conceivable way to do it would be to sell value-added produce at the end of the chain. Top-end charcuterie can go for £50+ per kg. So to get your £1,200 profit let's say you need to produce 30kg of quality salami, be at break-even before selling an ounce of it, be able to sell it at little cost, and have a butchered pig in your freezer for you.
The trouble is that raising pigs to produce the quality of pork you will need to prodice a premium product requires high quality inputs - good stock, good feed and good stockmanship.
You don't mention if there is any infrastructure on the 4 acres or if your profit needs to cover capital investment too. Pigs need houses, good fencing (or very good walls), and management. That all takes time and money.
If you are costing your time too then there's nay chance. And thinking about it, even if you're not costing your time there's nay chance.
