Is it too late to lime?

before the end of last season I did a lime test on part of my home allotment that I struggle to grow anything .....  the soil is (if I read it right) 5.5ph. Since then I forgot all about it.  Just got back from wilko's with a bag full of seeds and a box of Arthur Bowers garden lime. 

Can I lime now?  I havent put any fertilzer on my beds, I was going to empty my compost bin onto all my beds in the next few weeks, can I still do this and lime?  Not sure what can go with what and when???  I have only ever sowed my seeds with a sprinkle of growmore and hoped for the best!! This year its time to get serious!!!

no lime 2 weeks before and all will be well

thanks sunshine.  decided not to grow potatoes this year in the ground but in bags ... also only new.  Last years main crop didnt do so well the leaves went brown and yellow really early and only had a handful of very small pots.... plus when you can get 12.5kg of really good pots from your local farm for £3.50..   
Brought some purple sprouting (something new this year) and lots of carrots .... love carrots didnt buy any for months last year was very proud of myself!  4th year in growing veg and hoping this year is going to be a complete winner!!!