Crystals can be jarred on the mount interface and shift the frequency a significant amount. A ruggedized mount is available in more expensive types. A good supplier should have vibration and shock limits.
I have experience with shock & vibe testing ruggedized mounted SC cut Xtals with frequent failures in some axes but not all.
I also knew of one incident where NASA rejected a former colleagues product being oven tested with an unfortunate short height fall from a Tenney Jr. door, duct tape and a space instrument with a soldered Xtal onboard. NASA recalculated the impact of dropping 4" on the table top and rejected the unit in spite of normal operation from risk of partial shear of coldweld wirebond.
Any Xtals dropped on the floor should be trashed. Some parts may be better than others.
The key to Xtal vibration is the tiny motional capacitance. The modulation under vibration acceleration is possible but is attenuated like a high pass filter with a mechanical resonance. The abupt shift in frequency in ppm depends on the level of motion above some threshold.
Your concern is unanswerable without some part number, specification for vibration levels and acceptance criteria for shift, then test qualification of each source.