Can I sell a call for a profit before it reaches break-even?
Yes. The break-even a broker shows (the strike plus what you paid) is where the call breaks even at expiry. Before expiry the call still has time value, so it can be worth what you paid, or more, with the stock below that break-even. The closer to expiry, the closer the two get.
Try it: a call on a $50 stock, strike $50, bought with 30 days left at 30% implied volatility (made-up numbers; implied volatility held constant). Move the days and the stock.
Simulated example, priced by the StrikePath engine (Black–Scholes, interest 4.3% a year). For learning; not advice.
Two different break-evens
At expiry, a call is worth only the stock's price above the strike, so it pays back what you paid once the stock is above the strike plus the premium. Before expiry, the price also includes time value: what the remaining days of possible movement are worth. That time value shrinks every day, and, for an option near the stock's price, faster near the end.
What it means for a plan
A plan can name an exit before expiry: a price at which you sell, whatever is left. The course asks for a written exit plan before every practice trade, and shows afterwards how it played out.
What this shows, and what it doesn't
It holds implied volatility constant. In a real market it changes too, and a fall in it (after earnings, for example) can take value out of the call even with the stock rising. The price you can actually sell at is the bid, a little below the middle price shown.