Yes, yes you can! You just gotta get ABSOLUTELY EXTREMELY AMAZINGLY SUPER INCONCEIVABLY lucky.
To show you what I mean (thank you sumwun), there are 25 natures, and a 1 in 25 chance to get a Timid one.
Then, there’s a 1 in 8192 chance for it to be shiny, which is why I don’t shiny hunt.
1/25 x 1/8192 = 1/204800
Then there’s a 1 in 31 chance (I’m assuming) that you get a perfect IV. And you want 6 of them.
1/204800 x 1/887503681 = a grand total of 1 in 1.8176075e+14.
Are you SURE this is worth it?