I can answer that ... I'm afraid no. What you are asking is whether there is any similarity in their cellular receptor binding or "fusion loops" because the motifs look a bit similar.
These are very different viruses and you need to appreciate just how different they are,
Human herpes is a double stranded DNA virus resulting in a chronic infection. It has a vast genome of >150kb, which includes cytokine mimics and proteins that we have no idea what they do. The protein you are referring to is likely a surface antigen in a virus covered in different surface antigens. However, this protein is involved in blocking the beta inferon response is considered a protease - not fusion loop and appears to have some sort of complex replication function involving the capsid. Finally, there is also the question of which human herpes 1 to 8. Here you are referring to HHV1 but for example HHV3 is chickenpox (okay its an acute not chronic infection) and HHV5 is cytomegliovirus (congenitcal infection).
COVID-19 is a simple virus of a 30Kb genome of a single stranded positive sense RNA, causing an acute infection. I agree the Spike protein is much bigger than most RNA viruses, but the receptor-binding is tightly defined with ACE-2. It forms a classic RNA icosahedral virus, singly covered in Spike protein. I have no doubt it will go through conformational change like other RNA viruses in receptor binding but the protein involved is singularly involved in cell entry - thats its job.
Summary
There are large differences between HHV1 and COVID-19 for,
- Viruses; DNA double stranded vs RNA single stranded
- Infections; chronic vs. acute
- Transmission; vertical/integration? direct contact vs. respiratory
- Ultimately very different proteins
- Finally very different functions
At best this would be heavily scrutinised as a virological assumption.
Bioformatics If you really wanted to follow this up you could compare the structures around these motifs, because COVID-19 is close to SARS and assess this possibility ... but you would need to be careful about the conformational changes Spike goes through in receptor-binding.
Advice before investing large amounts of time in a bioinformatics question, it is well-worth understanding the biological rationale for the question. In this instance that rationale appears to be lacking. If you found a comparison for example with gamma-coronaviruses, which was absent from many beta-coronaviruses that would be interesting. Here there is simply too much possibility of a chance similarity and given the size HHV1 that cannot be easily overlooked. However it is good that you are thinking and questioning, if you apply the same techniques, e.g. psi-blast, protein-blast into different questions ... that can work.