So everything would be possible, however it would be very costly and difficult due to being down to the exact time prefluxes and you would have to be able to calculate impacts from Astroids that can throw off the equipment say if you move from a minor disturbance from anti collision maneuvers. Going deeper you would need time scheduled maintenance for robot repairs or if you change them out through out the years you would need a way for them to last till planet exposure. Also you would need a way for everything on the outside to hold up for repairs as-well unless you can figure out a way to manage robots from the out side maybe via mechanical holes that have various tools/arms that can due various tasks. Such as replace solar sails, various hardware, repair stripping paint, etc. you would need storage for these objects sadly impeding more space for the ever-longing journey. Now the truth, unless maintained properly you would have a loss of robots throughout the years from various things. Either from getting hit from debris, wire decay, solar storms, program failures, etc.. this one is a big one because with the robots would all have to clean up each other or else they would stumble over other robots. This isn’t including taking care of the fertile’s. So now we have to ask our sleeves would it really be worth it for this idea unless we can travel under 1/100 the speed of light or more ? Also you would have to realize the huge constructs this would plague society with.