Purely in theory, yes you could.
You don't really need the light to be of a specific wavelength to generate heat. You mostly just need a high enough concentration of photons.
The problem is that the number of photons falling on earth from a star is many times lower than that from the sun, so you'd have to concentrate the energy from an immense area to get the same intensity.
Ignoring, for the moment, the filtering from the earth's atmosphere (and such), we receive about 1021 photons per square meter per second from the sun. The brightest star (other than the sun) is Sirius. We receive about 109 photons per square meter per second from Sirius, so we'd need to magnify by a factor of about 1012 just to match the intensity we reach from the sun without any magnification1.
Doing a bit of quick math, that works out to a single round magnifier about 10 kilometers in diameter, or equal area in other forms.
Then figure that cooking meat with sunlight does require at least some sort of magnifier, so we can probably multiply that by a factor of at least 3, and probably more like 7-10 or so.
Of course, for now I'm ignoring a such minor details as how you even design (not to mention building) a system even close to that size. There would be decidedly non-trivial challenges involved. For example, the largest mirrors we've built yet have diameters around 10 meters (or non-round mirrors of roughly equivalent area). These are already built in sections, with a computer to control movement of the individual pieces to maintain the illusion of a single mirror acting as a unit. Trying to multiply that out to multiple kilometers--well, I don't think anybody's even contemplated what that would take yet.
1. side note: both these numbers are really for the number of photons hitting the top of the atmosphere, not what we see on earth after being filtered by the atmosphere. We don't really care a whole lot about that though--the intent is just to get at least some idea of what it takes to concentrate starlight to approximately match sunlight.