That's a little hard to answer. Certainly, it's possible, inasmuch that you can make a profit buying any random coin and selling it for a much higher price. However, compared to a regular random coin trade, the risk is completely dependent on at which point during the pump and dump process you entered in. If you buy in during the initial pump, then you have a good chance of making a tidy profit, assuming that the pump and dump successfully lures in other unsuspecting buyers. If you buy in during the dumping period -- when the pumpers are now getting back their investment by dumping their stash back onto the market -- then you'll be funding the profit margin of those who bought in earlier instead. Very rarely, the price will continue to rise even when the whales and pumpers have started dumping because the late buyers are unable to read the trend of the coin. However, as you can only sell your coin for however much another trader is willing to buy them for, it's not like you can just put up a coin with some ridiculous price tag and expect it to get sold. Even with a profitable tailing of a pump, you will only be able to sell your coins at a price equal to or lower than the price which the dumpers decide to cash out on.
Having said all that, I don't recommend trying to tail a pump and dump for profit. Ethically speaking, you would be enabling the dumpers to keep cheating other traders in exchange for a very small piece of the pie. Financially, it's a riskier gamble than buying a coin after doing your due diligence.