No it will not burn out a motor. However there is no delta-delta motor. It will be just a delta motor and your starter and motor branch circuit will have to be sized for direct on line (full voltage) start. As long as the electrical system can handle the starting current, there should not be a problem. This of course assumes that the load does not have issue with hard start. Most loads would not, specially if it was happy on star-delta.
In fact star-delta motors are basically designed to start and run in delta. The connections are modified to a star conneccetion during a start, only to reduce starting inrush curret, but at the expense of starting torque and acceleration.