The TimeSeries package seem to rely on equally-spaced time points (I could be wrong!!), but you seem to have more or less random time points - so timeSeries is probably(?) the wrong choice
It isn't too difficult to import the data and organise it in a more or less sensible way. The problem is to decide what is a sensible organisation, and this (probably) depends on what you are subsequently going to do with the data.
The problem is made more difficult by the fact that the two time series don't really "align", so you inevitably end up with
timeValue, QGASvalue, NULL, or
timeValue, NULL, PMEASvalue
and frankly, dealing with NULL entries is a right royal pain in the whatever.
The attached shows one option, where the data is ultimately stored as a table. The table indices are time values, and the table entries are a two-element list of [PMEASvalue, QGASvalue]. In most cases, one of these list entries is NULL, becuase no corresponding data value exists.
Whether or not you find this organisation acceptable depends very much on what you plan on doing with the data!!