I've looked into this method a lot since I don't have access to anything but OTC medication and the short answer is no.
The long answer is that it is possible to OD on Ibuprofen, and there are documented cases of it, but the only reason these cases were documented in the first place was because of their rarity. The few people that did succeed took over 100g, and for context, the average tablet only has 200mg, so you would have to take 500 tablets, which, depending on the bottle, would be around 5 to 10 entire bottles. You could cut that number down if you find extra-strength tablets that are 400mg each, but even then, you're looking at taking hundreds of them. But even among those who took this high of a dosage, most survived and ended up in the ER after 5 hours of being in pain. So I abandoned this method long ago.