Yes... And Depending on budget, a Squier or Harley B may be a better bet.
But... Where is the fun in that!
If you have a spare £150 min to hobby then go for it!
Body - I've used Luthiers Warehouse / Luthiers craft... for a custom body to make something a bit different.
Pickups - Check secondhand on here... Kent Armstrong, Entwisle, Warman, Wilkinson, ToneRider...
Tuners - Northwest own tuners are great for £25...
Neck - Ebay 'TwinCam' P or J width £50!
Odds n Sods - here or bay...
Loom - Kiogen
That were the bassis(!) For mine £150/200 ish
Finish - Oil or Wax... easier to get a passable finish... paint is a whole world of prep...
last was an almost their Aria that i got different bits to miss the missing bit...
£130 with the Entwistles...