You can, yes.
It'll be tight on skill points, depending on how much combat diversity you want on that character but it's definitely doable.
Lag is ruinin' my 'mershun! A society grows great when old men plant trees whose shade they know they shall never sit in. There is only one good, knowledge, and one evil, ignorance - Socrates Member of the Old Guard, keepers of the game's history
Yes, as long as you spend the skill points (and time) you can max level all of the crafts.
You may want to split them up between 2 or 3 characters though, the mat inventory involved would be huge if trying to level all at once and later easier to store associated mats with characters who specialize in that particular skill.
Ravalox Darkshire Developer of Wykkyd ESO AddOnsandRavalox' AddOns Co-Founder Brotherhood of Redemption ESO Branch Brotherhood of Redemption (A DC faction guild) http://eso.borguild.com *Always accepting worldwide applications for the PC NA server*
And a lot of time. Your best bet will be to research and deconstruct items now, but wait to invest skill points until vet levels.
Writs do help a little, though the woodworking, blacksmithing and tailoring writs require more materials.
PC NA
VR1 - Jar'eed - Khajiit Dragon Knight - AD
VR1 - Broad Tail - Argonian Templar - EP
All-Star Crafter Guild