I think the older layout of washing machines was great for that exact purpose; the controls (and for the washer which presents a possible drowning hazard, the door) are on the top and to the rear of the machine. An 11-month-old has no chance of reaching them unless he's sitting on top of the machine, and if he's sitting on top then his parents only have to look in a mirror to identify the problem.
Many of the newer HE washer/dryer sets now have all the controls on the front at the top, for ease of access. Well, you wanted ease of access, you got it, for everyone including little one (assuming he's tall enough or can step up on a stool to get to the controls).
Many I've seen do have a "lock" feature. Press and hold a "lock" button for one second and the controls are disabled (and the door latch locked) until you press and hold some combination of buttons that a toddler ostensibly couldn't stretch his fingers far enough to hit at the same time. That's probably as good as it gets, and if you want better you should again probably look in a mirror; how is your 11-month-old kid getting enough time to himself in the laundry area (which has myriad household chemicals that could kill him) to mess up the washer cycle?
Remember the Douglas Adams adage: "A common mistake that people make when trying to design something completely foolproof is to underestimate the ingenuity of complete fools". That holds for children as well. In fact, nothing's ever labelled "childproof" anymore because that implies a 100% guarantee that a child could never get past it (leading to several lawsuits, often successful, against manufacturers of these devices). What was "childproof" is now "child-resistant". Take heed; that's really the best you can do.
As an aside, stoves and ovens used to have similar layouts as the older style of washing machines, and many still do. The recent move on electric stoves to putting the controls on the front is as much a safety thing as having them at the rear on a washer/dryer; it's kind of hard to turn off the burner when you have to reach through a column of boiling steam or flame to do so. Gas cooktop designers have known that for years, but electric appliances are just now catching on.