If clips have linked audio and video, usually the case, inserting between them will shift clips at the right of the insertion to the right and leave a gap - to maintain sync.
If that's not desirable, right-click the clips and UNlink them. If audio isn't linked, as with a separate music track, sync may be no problem.
To move a block of clips without grouping, select them all. Click (select) the first. Hold down <shift> and click the last. Now drag them to the right. UNlinked audio won't be affected, but both A/V will move if the clips are linked.
The way snapping is handled in VP has changed through the years. You can try holding down <shift> or <alt> while dragging, to see if that affects the behavior of your version.