Absolutely not!
I get it. The NEMA 5-15 socket is the only type you are familiar with, but applying the wrong voltage is dangerous for reasons you're not thinking about (because you're in too much of a hurry to 'get there').
Doing it right is easy
(it just doesn't seem that way because it's 'new to you').
Actually, there's a cornucopia of socket types, and there's a right one for exactly what you're trying to do. Two, actually :)

Install the third or fourth one (both are allowed on a 240V/20A circuit).
Change the plug on the cord to a NEMA 6-15 type.
"That was easy"
P.S. Remember that when using /2 cable for 240V, you must use electrical tape to re-mark the white wire black or red on both ends.
See? Doing it safe and legal isn't that hard.