Yes, a stray wire will re-radiate radio signals, this is the principle used in underground cable detectors, usually in the very low frequency bands which are suitable for long cables and where there are very high power transmitters in full-time operation. But this is a linear effect, there is unlikely to be any measurable intermodulation between signals.
Any effect of HF on a VHF receiver is much more likely to be due to known deficienceies in design, for example breakthrough of excessivly strong images.