No, they don't. And Kimball's East (mercifully) either no longer exists or is no longer a Jazz club. That management long ago muffed their Jazzclub credentials, very badly....
Dirk, PM me and let me know what days you would be here, and what horns you'd wanna try. Even if you ain't gonna buy, just wanna goof around on 'em, I invite you to stop in; but contact me first so I can have some up and runnin' completely. (Website below, although it only lists about 40% of my stock). We can also talk good places to eat, walk, and hang.....
As far as Jazz clubs and venues, the headliner clubs are Yoshi's (San Francisco and Oakland). They have a website so you can see who's playing.
If you wanna sit in on an open jam sorta thing...in SF check out Madrone Lounge on Divisadero & Fell St., Sunday nights. Wil Bernard on the B3 with a really GOOD rhythm section is the anchor band and some good players drop in and out. It's the best open jam currently.
Also on Sunday at the Dogpatch Saloon, across town. That one's pretty good too, although it can vary in quality.
Club Deluxe in the Haight-Ashbury also supposedly has one, but I have never been so cannot confirm.
Rassela's, a few doors down from Yoshis SF, also supposedly has a jam, although again, I cannot confirm that.
http://sanfranciscojazzfromanewbie.blogspot.com/2010/05/jazz-jam-sessions-and-open-mics-in-san.html
Also do a search for the SF Jazz Festival. It's a weird beast. Used to be it really WAS a festival, taking place w/i a 2-week period each year. Now (sorta like the Shakespeare Festival in Ashland, Oregon) it is seemingly neverending...oftentimes hobbling along with groups which can hardly be considered Jazz (Bulgarian Vocal Octet, anyone ?), but sometimes having a great slipped in there somewhere. It's a bit anti-climactic when a Festival is stretched thin all year around...I'd imagine some promoters just purchased the name a long time ago......but there are listings and there are performances....
Other shops with horns would be Best Music in Oakland (new and vintage), Union Music in SF (not a great shop, but nice guys and they have a fair amt. of horns which are overpriced and most are kinda crappy asian new ones, but some vintage in there, too), and maybe Saxology in Berkeley (actually a tech and mouthpiece refacer, but he always has some horns up and running for sale).
It is funny, like many things in SF, its reputation actually exceeds its reality. Good Jazz is spread out, not centralized and you gotta have someone point you right or you can waste a lotta time....and the same for good music shops and clubs of any musical kind. This place isn't a mecca for art and music anymore; and it has always gone to bed early, even on weekends...so, several other cities in the u.s. have long ago taken that mantle.
....it is, however, a cool and interesting place to visit.... and it's arguably the prettiest city this country has to offer (it won't be hot out, however).