Yes, however this almost never happens. The medical establishment insists you vaccinate your child "to the schedule" (74 vax doses by the time they reach 18, two-thirds of it by kindergarten). People who would like to selectively vax or spread them out over time are castigated as anti-science loons putting society at risk.

Most pediatricians demand you follow the schedule as that's what the AAP demands of them. People who have not experienced this themselves have no idea how it works. The schedule has been loaded up with all sorts of vaxxes that are for diseases that are not life-threatening for children (flu, rotavirus, chicken pox) or are incredibly rare. The schedule has tripled since 1986 when vax manufacturers where indemnified.

The autism debate is important but ultimately a side issue. The real question is who gets to decide what is injected into children, their parents or a corrupt medical establishment. I'll go with the parents on this one.

Edit: fixed date of when vax mfgr's were indemnified, it's 1986 not 1984.