If it's just writing up then I think it's perfectly possible. If you have other things to do (final data analysis?) then you might be a bit pushed for time depending on how much you need to do. Don't underestimate how long it takes to do the final format and print of your thesis (I know, in theory you should just be able to click print and leave it to it but in practice...!). If you can, print each finished chapter (and do the required number of photocopies) as you go along, it's very motivating to see your thesis grow each week! Good luck!