v2024.7 (or higher)

Tap (or click) and hold on a measure (typically the first measure of your selection) until it selects, then either drag (across, down etc.) to the end of the selection required, or drag the blue selection handles to select the \ range.

iOS external keyboard: use arrows (or mouse click) to move the cursor to the desired location to start the selection area, while holding down Shift, continue using arrows (e.g. right or down arrows) to select measures. Use the standard key commands for cut, copy, paste.

Use the menu options:
CUT - the selected area is saved to the clipboard and the space is removed, moving the subsequent measures backwards.
COPY - will save the contents of the selected area to the clipboard.
DELETE - will clear the content of the selected cells without removing space.
INSERT SPACE - will insert empty space (the equivalent length of your selection) pushing the subsequent measures forward.

PASTE - double tap where you want the measures to paste from, tap Paste. (Moves subsequent measures forward)
External keyboard/mouse: double click the space (or use arrows), Ctrl-V

Paste over - select measures to be deleted (even if it is more than will paste), then Paste. Subsequent measures will place after the pasted measures.