Is it possiable B2B IM

It's hard to say since there is nothing in your logs, but I'll take a stab at it. 

It depends on how much this shoulder injury affects your swimming.  Does it prevent you from making a full stroke or does it start to hurt when you swim for long periods of time?  If you can't swim for an hour and thirty minutes, then I don't think you can do B2B.  If your injury just makes you slow, then I would say go for it.  B2B's swim is down current and wetsuit legal.  These two things make for a very fast swim.  If you are swimming slowly, but continuously swimming, you will get out of the water in less then two hours. 

You said you have limited time to train.  This concerns me more.  There isn't a way for a first time IM to complete the distances on small volumes.  You will find folks that have been at it for years and can do it with weekly peak volumes below 10 hours, but they have built a base over the years.  How much time do you need to devote during peak weeks?  I dunno.  I can't see the last 12 months of your workouts.   I assume you have that big base in cycling, but you will need it in swimming and running too.

Good Luck!

I would ask what is the rush?  With proper training between now and then you could likely finish but I would suggest a more gradual build to IM would be a better idea.

IIWY I would spend this year working on sprints and Oly distance races and then look to step up to the HIM next year and an IM in your third year (if you still want to keep stepping up the distance). 

The IM distance isn't going anywhere and if you take the time to build your triathlon fitness over years instead of months, then you are more likely to stay with the sport in the long term as opposed to one and done.

Shane

I'm torn. Personally I'm waiting to do B2B many years from now when my kids are older. I find it hard to put in the training time with me working during the day, my wife working in the evening, and someone has to be home with the kids. But I'm talking about only getting 3-6 hours a week. When they are old enough to stay home by themselves I might have a shot. Assuming I can stay motivated for 10 years....

That said, I can see how it could be more exciting in one year. We do these things because we want a challenge, but if we train properly over time it seems like less of a challenge. And maybe you want to be one and done. I think you could train for the swim, but you might want to work with a physical therapist to make sure you are taking care of your shoulder. Like others said, time won't be the issue.

I would strongly agree with the "why rush?" motto.  Ironman will be around for a long time.  If you wait 2 even 3 years, and do other distances you will have an AWESOME base and may actually be able to consider RACING an Ironman.  As far as the shoulder goes... get it checked out, find strengthening exercises and DO THEM!  life is too short to live with a pain like that.