As others have said, there's no rule that prevents you from getting the S & W 67 as your first. And for recreational shooting the .38 is plenty, and you'd probably find it a it more recreational while a .357 is a little more like work.
BUT, if you're going to eventually decide it's also for home defense (you know how you think better than anybody else) you might want to consider one of the larger frames in .357. Still shoot .38 most of the time, load up with .357 for home defense.
I WOULD stay away from small-frame (J frame) .357's as a first gun, they're not much fun at all to shoot .357's from and might cause you to conclude that owning a gun isn't nearly as much fun as you thought it would be. But again, if you know that won't happen with you, and you will end up wanting it to be a carry gun, then a small frame with some sort of shrouded hammer is probably the one with your name on it.
And FINALLY, if you can afford 2 guns the .22 as a first would be a really good way to start. Cheap, lots of fun largely because of that but also easy on the hand. And after you've shot it a LOT, you might decide your second "bg" gun should be something totally different than the 67 you like now. Or maybe it'll still be the one, and you're more certain than ever.
You are almost certainly going to own at least one .22 sooner or later (I dare you to only own one!!!), so why not start there. It's not like starting with a .22 makes you a wimp....
So there's a complete "on this hand, but on the other hand" analysis that doesn't tell you anything other than that it's your decision, don't do what you think somebody else THINKS you should do.
It's free choice, your free choice. Make it whatever makes you happiest. You can't stop with just one anyway, long run, so there's no wrong choice....