Yes it can but they're limits BS AU 159 sets it all out if you're interested, from how you describe your puncture it sounds repairable using a mushroom plug repair. This repair requires tyre removal.
Just about all tyre manufactures don't recommend repair, some will state no repair and when they're, withdraw their product performance guarantee. Forces you to buy another tyre! Some insurance companies will also try and use a tyre repair as a way of not paying out if say you had a blow out, in these cases you have to prove it was repaired to BS AU 159 standard.
All that said it all depends on the damage, a simple, nail/screw/wire puncture going in at less then 45* in the repairable area should be perfectly repairable. I've had the same on my old Busa and ZX10R both tyres punctured less than 1000k, lasted to the end of their road life 3- 4 k.