I think its do-able, and its a challenge right

A few years ago after recently getting into road bikes I was an approaching 40 year old ex smoker who winced at the thought of 'training' (still do, I just ride my bike everywhere, I don't train, training is for the kind of person who would go to a gym, I'm not one of those people). I'd done a couple of centuries but wanted to try a solo 200 miles during daylight hours. I did it at the end of May and left after sunrise about 4.30am, I had a ruksak (not recommended for long rides) nearly as heavy as my steel bike, well over 3 hours worth of stops including a full pub lunch, so I was enjoying it not hammering it. Riding time was 13 hours and I managed just over 210 miles before dark. It was hard but brilliant fun, and I'm still boring people with it now

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So yes its possible but to mirror the sentiments of others there's nowt like practice to give you the belief you can do it. I assume you have a bike at the moment? In winter its harder being out for long rides, but you have a training partner to share motivational duties

, and the end of April is still 5 months away, so you should be able to get some decent miles in.
And to highlight what Marcus says being comfortable over those distances is a big thing, you need to know if your current saddle will try and cut you in half over 169 miles and you won't know that unless you've done 100 miles on it. (In my experience anything over 150 is damage limitation on the arse front, but maybe I've yet to find my perfect saddle). A centuary is a decent milestone to build towards and by then you should have found a comfortable bike set up and a better idea of your body's eating and drink demands for long days on the bike. (for me this is eat and drink a lot more than I'd think,I eat a lot anyway but on long rides I'm like Augustus Gloop

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The direction you are going means it will likely be a headwind all the way so take turns on the front and my only other advice would be to not set off too fast, and have lights or a back up plan if it looks like you are going to miss your imposed time limit.
And of course, like me you'll be telling the tales of your intrepid adventure for many years to come, and you can cling to that thought if you have any rough patches on the way. Remember you'll get more mileage from the stories than you manage on the ride
