Not at all - I'd suggest that as soon as you understand the basics of flight control you jump online.
Only the first solo scenario is really to do with control familiarity - from then on they are a series of combat arenas with increasing (more or less) difficulty. Some are fun, for sure, but others are more difficult than anything you will ever encounter online unless you specifically go looking for trouble.
Also, until you go online you can't experience docking, or trading, or missions, or supercruise, or hyperspace, or ... well, you get the idea
Your starting ship online is free, and until you start building up money you can crash it as many times as you need while practicing docking, or get shot up as many times as you like in combat and you'll just reset with a fresh ship. Take the time to learn the ropes in the basic Sidewinder - explore, do a little trading, take a mission, do some combat at Eranin 2, etc.
Don't start playing seriously and trying to build up cash until you feel confident, because a bad loss will cripple you and lose hours of gameplay, which is very depressing. Remember also that a progress wipe is almost guaranteed before too much longer, so don't focus on making money right now.
Good rule of thumb is to build up cash reserves of 50% more than you need to buy your next ship before buying it, to cover insurance, buy cargo, and allow for a total cargo loss.
Have fun!