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until I attempt a half marathon.
Currently longest run has been 5k - 31 minutes.
Simple questions, is it going to be possible? I'm half pessimistic, half optimistic.
I think you're pushing it. If you were to increase your longest run of 3 miles by 1 mile per week, you'd still only build upto 9 miles, if you increased your long run by 1 mile per week, prior to your half marathon.
Week 1 - 4 miles
Week 2 - 5 miles
Week 3 - 6 miles
Week 4 - 7 miles
Week 5 - 8 miles
Week 6 - 9 miles
Hal Higdon training programs are good:
This is a 12 week one that you could be capable of completing. I'd just delay your half and find a later one that fits in with the Hal Higdon training program.
It may save a lot of aches and injuries?
You can do it, you won't break any records, but I guess that's not what it's about. Maybe try to stretch the runs a bit further at the end 6 then 7.5 then 9 and then a 10.5? if that's possible, then just go for it on the day. Just don't start to fast and relax and enjoy it.
How often in the week are you running, and how far are any other runs? Are you doing any other exercise (e.g. swimming)?