Actually, no. The teams have two service gear setups. One is for overseas and one is for European. Still this year Corsica was driven between Mexico and Argentina and this caused no problems. Even if Mexico, Chile and Argentina would have been driven consecutively, the cars and drivers would have still flown back to Europe after Mexico (Chile and Argentina were linked) with the overseas service gear slowly rolling from Mexico to Chile.
The biggest problem is that rallies aren't set up so quickly. You need to find sponsors and partners, design the route and get permissions for it. For example Rally Finland's route and road contracts are almost finished at this point of year, and it's not driven until August.