I do not have such experience but understand "pressure grouting" of various setting cement mixes is done quite often and by various means (through exterior grout tubes or thru-wall ports) at least AFTER e.g. carrier pipes are pushed or pulled up inside larger casing pipes. While I suspect the purpose of this is to firmly fix the carrier in the casing for whatever reasons by those designers, I have not necessarily always understood this practice in all cases (so to speak), as it would appear to negate some original purposes of casings to begin with [that as I once read explained in the ASCE MOP #89, “Pipeline Crossings” includes the ability to withdraw the pipe at any time in service life if that were ever desired and for whatever reason etc.]
However, while I have not heard of this sort of thing being done actually during pulling installation of HDD pipelines installed directly without casings into a soil mass (perhaps for the worries you describe), I would not be surprised if this had also been done somewhere. However, I think it is well-known some “stuff happens” in some directional drills that can interrupt progress (or for that matter in basically any kind of construction involving folks and equipment etc.!) For instance I heard of a case last week in the middle of a pull of quite long pull of large diameter ductile iron pipe where the contractor ran out of drilling mud part way through the installation. He sent a worker to pick up another pallet of mud mix, and in so doing the worker (trying to “do good”, as most of us are wont to do) picked up two pallets. On the way back, the truck was run over scales and was found to be overweight. Needless to say he arrived back on the site a few hours after he was sent. In this case and with this pipe the contractor was able to finish the pull very successfully; however, if he would have been dealing with a firm-setting, cement grout I’m not sure the results would have been so favorable!
Also, if you are talking about using or adding e.g. exothermic/setting cements (e.g. Portland cement concrete or grout) and particularly around plastic pipes, it is also possible heat generated as Portland cement sets wouldn’t help the strength and deformation/ collapse/buckling resisting moduli of the plastic pipe, at least over the time the temperature (and external pressure?), is applied.
[I have given escrowe a star for I think some quite good points made;>)]